Question

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

x - 1 < -12 or x + 12 > 10

x < -11 or x > -2

A number line with an open circle on -11, shading to the left, and an open circle on -2, shading to the right.

A number line with an open circle on -11, an open circle on -2, and shading in between.

x > -2 or x < -11

Answer 1

x - 1 < - 12
x < -12 + 1
x < - 11

x + 12 > 10
x > 10 - 12
x > - 2

now we know that x is less then - 11 and is greater then - 2
Therefore, # 3 is incorrect (not equivalent)

Answer 2

Thank you so much! :)

Answer 3

So the wrong one would be A number line with an open circle on -11, an open circle on -2, and shading in between?

Answer 4

yes....that is the incorrect one....the one that is not equivalent :)