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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 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.


What is the similarities of solving equations and inequalities?

You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.


How do you solve an inequality if you are left with a negative variable?

In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)

Related Questions

How do you solve 6.021023?

6.021023 is a single number: not an equation or inequality. You cannot solve a single number!


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"


solve the inequality and enter your solution as an inequality comparing the variable to a number?

x>5


How do you solve an inequality when using the distributive property?

You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3


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


Solve this inequality 3p- 16 21?

This is not an inequality. There is no <,>, or = sign.


What is the similarities of solving equations and inequalities?

You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.


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 solve an inequality if you are left with a negative variable?

In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)


Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?

Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33