Question

-2(x + 1) ≥ −4

OR
4x7 25.
Solution
3x - 4 ≥ 5
OR
−52 + 17 ≤ 12
|||||||
-4-2 0 2 4
+|||||
-4-2024 6 8 10
+++++++
++
6 8 10
-4 -2 0 2 4 6 8 10
-62x8≤-2
Inequality

Answer 1

Explanation:

remember, when multiplying or dividing by a negative number on both sides, the inequality sign flips.

-2(x + 1) >= -4

x + 1 <= 2

x <= 1

or

4x - 7 >= 5

4x >= 12

x >= 3

so, this is the 3rd line graph.

3x - 4 >= 5

3x >= 9

x >= 3

or

-5x + 17 <= 12

-5x <= -5

x >= 1

so, this is the first line graph

-6 <= 2x - 8 <= -2

2 <= 2x <= 6

1 <= x <= 3

so, this is the 2nd line graph