Question

Find the solution set to each inequality 6m + 2 < 5m - 4-3(x-7) > -278(p-6) - 4(p-4)

Answer 1

The inequality to solve is,

`8(p-6)>4(p-4)`

We will use the distributive property (shown below) to simplify the expression. Then, we will use algebra rules to solve the inequality.

Distributive Property

`a(b-c)=ab-ac`

The simplification process >>>

`\begin{gathered} 8(p-6)>4(p-4) \\ 8(p)-8(6)>4(p)-4(4) \\ 8p-48>4p-16 \\ 8p-4p>-16+48 \\ 4p>32 \\ (4p)/(4)>(32)/(4) \\ p>8 \end{gathered}`Answerp > 8