Question

Which of the following is not an equivalent form of the compound inequality

x + 18 less than or equal to 10 and x + 18 greater than or equal to 5

A: A number line with a closed circle on -13, shading to the left, and a closed circle on -8, shading to the right.

B: 10 greater than or equal to x + 18 greater than or equal to 5

C: -13 less than or equal to less than or equal to x -8

D: A number line with a closed circle on -13, a closed circle on -8, and shading in between.

Answer 1

So start by writing it like this: 5 <= x+18 <= 10

Answer 2

This works sort of like a triple equation now. If you add things to one side, you have to add the same amount to each other side. And remember, a number line with an open circle and a line to the right means that you do not include the value that the circle lands on (this implies greater than). A number line with a closed circle and a line to the right means that you DO include the value (this would imply greater than or equal to).

Answer 3

Ohhh okay, gotcha