Question

Solve 3x + 7 > -x - 9. Show each step of your work.

Answer 1

Answer:

x > -4

Step-by-step explanation:

Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:

3x + 7 > -x -9

3x + 7 - 7 > -x -9 -7     Subtract 7 from both sides

3x > -x -16

3x + x > -x -16 + x     add x to both sides

4x > -16

$\frac{4x}{4}$ > $\frac{-16}{4}$     divide both sides by 4

x > -4

In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.