Which of the following is not a way to represent the solution of the inequality 2x - 2 = x x

Question

Which of the following is not a way to represent the solution of the inequality 2x - 2 <= 4?

 3 >= x

 x <= 3

 A number line with a closed circle on 3 and shading to the right.

 A number line with a closed circle on 3 and shading to the left.

anonymous · Answer

@TRowstudy

anonymous · Answer

@ovenmitt12

richyw · Answer

$$2x-2\leq 4$$$$2x\leq 6$$$$x\leq 3$$

richyw · Answer

$a<x$ is the same thing as $x>a$

anonymous · Answer

The purpose of this is to show 1) that you understand that the first two are the same and 2) to show that you understand what that means on a number line. 3>=x is the same as x<=3. Now you know both of those must be correct, so one of the correct answers is the third or fourth options. You shade a number line with the values that satisfy the inequality. A number line with a closed circle on 3 and shading to the right would be the same thing as x>=3. A number line with a closed circle on 3 and shading to the left would mean x<=3.

richyw · Answer

you would draw a closed circle because " $\leq$ " means "less than OR equal"

richyw · Answer

so you want to shade everything that it less than or equal to 3. I think you can figure out which one is incorrect from there!