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What is the inequality of -2 and 3?
The inequality of -2 and 3 can be expressed as -2 < 3. This indicates that -2 is less than 3 on the number line. In terms of a range, any number greater than -2 and less than 3 can be represented as -2 < x < 3, where x represents any value within that interval.
How do you Graph x less than 5?
To graph the inequality ( x < 5 ), draw a number line and mark the point at ( 5 ) with an open circle to indicate that ( 5 ) is not included in the solution. Then, shade the area to the left of the circle to represent all values of ( x ) that are less than ( 5 ). This visually indicates that any number less than ( 5 ) satisfies the inequality.
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
Is the quotient of tirty-five and a number t is less than or equal to seven and equation or inequality?
It is considered an inequality.
What is an inequality for six times a number is less than sixty?
6x < 60
When will the graph of an equation inequality be a dotted line?
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
How can you graph an inequality?
You have to graph an inequality on a number line. For example, x>3.The number 3 on the number line gets an open circle around it, and a line is extended to all the other possible equations.There is an open circle if it is a "greater than or less than" sign, and there is a shaded circle if there is "greater than or equal to, or a less than or equal to" sign.
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).
Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?
You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.
When graphing a linear inequality how do you know if the inequality represents the area below or above the line?
If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region, If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region,
How do you determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line?
A parenthesis is used for a number which is an 'end' of an inequality but is not itself included. For example, if the inequality reads "x>3", there is an opening parenthesis on the hash-mark labelled '3', and the number line is shaded to the right. If the number IS included a bracket is used. So for -3 is less than or equal to x but less than 3, there is a [ on -3, and a ) on the 3, and the number line is shaded between -3 and 3.
Is a number an expression equation or inequality?
A number is an expression. It is not an equation, or an inequality, since it doesn't have an equal sign, or an inequality (greater than, less than, etc.) sign.
What determines if the line is dotted or straight for an inequality?
If it is a 'greater than' or a 'less than' then it's a dotted line. If 'less than or equal' or if it's a 'greater than or equal' then it's a solid line.
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.
What is the inequality of -2 and 3?
The inequality of -2 and 3 can be expressed as -2 < 3. This indicates that -2 is less than 3 on the number line. In terms of a range, any number greater than -2 and less than 3 can be represented as -2 < x < 3, where x represents any value within that interval.
How do you Graph x less than 5?
To graph the inequality ( x < 5 ), draw a number line and mark the point at ( 5 ) with an open circle to indicate that ( 5 ) is not included in the solution. Then, shade the area to the left of the circle to represent all values of ( x ) that are less than ( 5 ). This visually indicates that any number less than ( 5 ) satisfies the inequality.
