Question

The number -2 is a solution to which of the following inequalities?

-3x < 1
x - 7 < -4
-12/x> 10
x + 7 > 5

Answer 1

Answer: x - 7 < -4

Explanation:

x - 7 < -4, plug in the -2.

-2 - 7< -4, simplify; -2+-7=-9

=- 9<-4

Answer 2

Substitute the value of x = -2 to the inequalities:

-3x < 1

(-3)(-2) < 1

6 < 1 FALSE

x - 7 < -4

-2 - 7 < -4

-9 < -4 TRUE

-12/x > 10

-12/(-2) > 10

6 > 10 FALSE

x + 7 > 5

-2 + 7 > 5

5 > 5 FALSE

Answer: x - 7 < -4