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Which region you shade depends on whether you are required to shade the possible values or the values that need t be rejected. In 2 or more dimensions, you would normally shade the regions to be rejected - values that are not solutions. With a set of inequalities, this will result in an unshaded region (if any) any point of which will satisfy all the equations.
If the inequality is written in the form x < N where N is some given value, then the possible solutions are to the left of N and the rejected values are to the right. Whether the value N, itself, is shaded or not depends on whether the inequality is strict or not.
What else can I help you with?
Martha always treid to exercise at least 30 minutes a day write an inequality to represent the number of minutes Martha exercises each day with the inequality?
Let ( x ) represent the number of minutes Martha exercises each day. The inequality to represent her exercise routine would be ( x \geq 30 ), indicating that she aims to exercise for at least 30 minutes each day.
How would you solve 5 times 2 6.2 as an inequality?
131
How would you right eight divided twice a number?
There has to be a wrong before it is righted!
What would happen if Mark used 2 Blue cans and 5 Yellow Would that be the same shade of green paint after he mixed them?
If Mark used 2 blue cans and 5 yellow cans, the resulting shade of green paint would differ from using different proportions of blue and yellow. The specific shade depends on the exact colors and tones of the blue and yellow paints used. Generally, more yellow than blue will create a lighter, brighter green, while a higher ratio of blue would yield a darker, muted green. Therefore, the mixed shade will vary based on the quantities and the specific paints involved.
In the fallowing inequality determine if the graph would contain a solid or dotted line then determine If the solution is above or below the line?
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
Which graph shows the solution to the inequality -3x-720?
To graph the solution to the inequality (-3x - 720 < 0), you first need to solve for (x). Rearranging the inequality gives (x > -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.
How can you use a number line to represent solutions of an inequality?
A number line can visually represent the solutions of an inequality by marking the relevant points and shading the appropriate region. For example, if the inequality is ( x > 3 ), you would place an open circle at 3 (indicating that 3 is not included) and shade to the right to show all numbers greater than 3. Conversely, for ( x \leq 2 ), you would place a closed circle at 2 and shade to the left to indicate all numbers less than or equal to 2. This method provides a clear visual representation of the solution set.
What is the inequality 3 less than x on a number line?
The inequality "3 less than x" can be expressed as ( x > 3 ). On a number line, this means you would place an open circle at 3 to indicate that 3 is not included in the solution, and then shade the area to the right of 3 to represent all numbers greater than 3. This visually shows that any value of ( x ) greater than 3 satisfies the inequality.
When doing algebra how do you know what region to shade?
Given an inequality, you need to decide whether you are required to shade the region in it is TRUE or FALSE. If you are given several inequalities, you would usually be required to shade the regions where they are false because shading is additive [shading + shading = shading] and you will be left with the unshaded region where all the inequalities are true.Next, select any point which is not of the line or curve for the inequality. Plug its coordinates into the inequality: it the result FALSE? If so, shade the region (relative to the line or curve) in which the point is found. If substituting the coordinates gives an inequality which is TRUE then shade the regions which is the other side of the line or curve.
How do you answer a inequalities on a number line?
x>2, you use an open circle above the #2 and shade to the right. If the equation was greater than or equal to 2, you would use a closed circle and shade to the right! Less than 2 would use the open circle to not include 2 and you would shade all numbers to the left of 2. Less than or equal to 2, solid circle which includes #2 and shade all #'s to the left of 2!
When an inequality is graphed would you shade the line?
The line must be solid if the inequality is strict (less than or greater than). It must be a dashed line if otherwise (less than or equal to, greater than or equal to).
Where to shade when graphing inequalities?
When graphing inequalities, you shade all areas that x and/or y can be. If the number is x, you shade left and right. If x is anywhere from -11 to ∞, then shade the area to the right of -11. If it is from -∞ to 5, shade the areas to the left of 5. If the number is y, then you go up and down, so if y is anywhere from 0 to ∞, shade all the areas above 0, and if it is from -∞ to 100, shade all the areas below 100. Combining x and y, usually restricts the areas you should shade. For example, if x is from -∞ to 7, and y is 3 to ∞, you would ONLY shade the areas that are to the left of 7 AND above 3.
Which side of the line do you shade with inequality signs?
Whichever side contains all the numbers that satisfy the inequality. Generally, "greater than" points to the right side of the line or above it, and "less than" will lead to the left side or below it. But you have to be careful, and it would really help a lot if you understood the whole concept better than you presently do.
Solve 0.4x-5 and gt-6.5 and graph the solution on a number line?
To solve the inequality (0.4x - 5 > -6.5), first add 5 to both sides: (0.4x > -1.5). Then, divide by 0.4: (x > -3.75). On a number line, you would represent this solution with an open circle at -3.75 and shade to the right, indicating all values greater than -3.75 are included in the solution.
State how to choose which half plane to shade when graphing an inequality?
It is standard procedure to shade the area where the Inequality does NOT apply, leaving the unshaded area to show where the Inequality is valid. Choosing a simple illustration, the Inequality y > 6 would be graphically represented by a dotted line passing though y = 6 and parallel to the x-axis. The area below this line would be shaded as this represents the zone where y < 6. Note : A broken/dotted line is used to illustrate the boundary where a true Inequality applies (e.g. < or >). A solid line is used where the Inequality also includes an equals sign (e.g. ≤ less than or equal to, or ≥ greater than or equal to ).
What inequality is graphed on this number line?
To determine the inequality graphed on a number line, you would need to identify the points marked on the line and the direction of any arrows or shading. If the line is shaded to the left of a point (for example, -2) with an open circle, it represents the inequality ( x < -2 ). If it’s shaded to the right with a closed circle, it would indicate ( x \geq -2 ). Please provide specific details about the graph for a more precise answer.
How do you solve inequality and graph them?
Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading the number line on the right side of the three. This shows that x is greater than three.
