Solve: |4x+7|+5>4

|4x+7|+5-5>4-5

|4x+7|>-1
which is true for all real numbers

Solve: -12<|-3x|+1

This is true for any real number because the right side of the inequality is always positive

find the exact value of tan75

which is...

3+|6x-1| < 14

|6x-1| < 11
-11 < 6x-1 < 11
-11+1 < 6x < 11+1
-10/6 < x < 2
-5/3 < x < 2

Write an absolute value equation or inequality representing all real numbers x at least 3 from 7

so we want:

x < 7-3 or x > 7+3
which means:
|x-7| > 3

What is 0.154545454545454(repeating decimal) as a fraction? And How do you rewrite repeating decimals as a fraction?

n=0.154545454545454...
10n=1.5454545454545...
1000n=154.545454545...
1000n-10n=153
990n=153
9*110n=9*17
n=17/110

Solve: |x+7|+15>12

|x+7|+15 > 12
|x+7|+15 > 12-15
|x+7| > -3
which is true for all real numbers because an absolute value expression is always greater than any negative number.