Question

Solve the inequality x + 1 > 5. Then graph the solutions.

Answer 1

Solution to Inequality #1:

6 - x > 15
-x > 15 - 6
-x > 9
-x/-1 < 9/-1 (divide by -1; reverse sign of inequality)
x < -9

Solution to Inequality #2:

8x < 1
x < 1/8

OR

x - 9 > -5
x > -5 + 9
x > 4

Solution to Inequality #3:

|x + 3| >= 4

Positive Case:

x + 3 >= 4
x >= 4 - 3
x >= 1

Negative Case:

-1(x + 3) >= 4
-x - 3 > = 4
-x >= 4 + 3
-x >= 7
-x/-1 <= 7/-1 (divide by -1; reverse sign of inequality)
x <= -7