Question

Lesson 14 A Solving Inequalities 12x-+4 >9x-14

Answer 1

The expression we have is:

`12x+4>9x-14​`

Steps to solve this inequality:

Step 1. Subtract 4 to both sides:

`\begin{gathered} 12x+4-4>9x-14-4 \\ 12x>9x-18 \end{gathered}`

Step 2. Subtract 9x to both sides:

`\begin{gathered} 12x-9x>9x-9x-18 \\ 3x>-18 \end{gathered}`

Step 3. Divide both sides by 3:

`\begin{gathered} (3x)/(3)>-(18)/(3) \\ x>-6 \end{gathered}`

Answer:

`x>-6`