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How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
How do you solve a linear equation of an inequality or equation?
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
How do you solve multi-step inequality word problems?
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
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.
How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
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.
How can we determine inequality using position on a number line?
butts
How do you solve the inequality and graph a solution?
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
How do you use inqualities?
Inequalities are used to compare two expressions that are not equal. To solve inequalities, follow the same rules as equations (e.g. add, subtract, multiply, or divide both sides by the same number), but remember to reverse the inequality sign if you multiply or divide by a negative number. Graph the solution on a number line to represent the possible values that satisfy the inequality.
What is The picture of an inequality?
A picture of an inequality typically represents a mathematical relationship where one quantity is not equal to another, often illustrated on a number line or a graph. For example, on a number line, an inequality such as (x < 3) would be shown with an open circle at 3 and a shaded line extending to the left, indicating all values less than 3. In a graph, inequalities can create shaded regions, such as in systems of inequalities, where solutions to the inequalities are visually represented. Overall, these visual representations help to clarify the concept of inequality in a more intuitive way.
How is graphing an inequality on a number line different from graphing an inequality on a coordinate plane?
The first is 2-dimensional, the second is 1-dimensional.
What are All points on a number line that represent the solution to an inequality?
solution set
What is the graph of inequality in one variable?
It is a section or several sections of the number line.
How do you graph -6 is greater than x plus 5 as an inequality on a number graph?
The inequality -6 > x+5 can be rewritten -11 > x (by subtracting five from each side) or rather x < -11. To graph this on a number line, draw an open circle over the number -11 (if the inequality included "or equal to" the circle would be filled in). Then draw a line/arrow coming out of the circle over the number line. The line should only be drawn over the portion of the number line that makes the inequality true. For instance, choose a test point. When x is -20, the inequality is true: -20 < -11. So in this case, the arrow coming out of the open circle will point to the left, in the direction that the number line is getting smaller.
