6q - 18 > 5q - 23

- 5q - 5q

q - 18 > -23

+ 18 + 18

q > -5

The solution set is equal to (-5, ∞).

- 5q - 5q

q - 18 > -23

+ 18 + 18

q > -5

The solution set is equal to (-5, ∞).

w<3

Step-by-step explanation:

7 - 5w > -2 - 2w

-3w > -9

w < 3

(Correct me if i am wrong)

(-∞,-5)∪(-1,∞)

Step-by-step explanation:

1. You have the compound inequality given in the problem above:

or

2. First, you must solve for , as following:

3. Then, the solution is:

(-∞,-5)∪(-1,∞)

5. You can pose the solution in the number line, as it is shown in the graph attached.

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A.

i.e. i.e.

B.

i.e. i.e.

So, we get the solution is or and the plotted region can be seen below.

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