Question

Match the inequality with its line graph.

A) 2 x > -6


B) x - 4 < -7


C) 6 + x ≤ 3


D) - x - 5 ≤ -2

Answer 1

The answer to your question is below

Explanation:

A) 2x > -6

x > -6/2

x > -3

It must be a graph with an open circle starting at -3 and then to the right.

It is the first graph.

B) x - 4 < -7

x < -7 + 4

x < -3

The graph must be an open circle starting at -3 and pointing to the left.

it is the second graph.

C) 6 + x ≤ 3

x ≤ -6 + 3

x ≤ -3

The graph must be a closed circle starting at -3 and pointing to the left.

it is the forth graph.

D) -x - 5 ≤ -2

-x ≤ -2 + 5

- x ≤ 3

x ≥ -3

The graph must be a closed circle starting at -3 and pointing to the right.

It is the third graph.