Question

Solve the inequality - 8u <= 96and - 9c < 126

Answer 1

`\begin{gathered} u\ge-12 \\ \text{and} \\ c>-14 \end{gathered}`

Step-by-step explanation:

Given the inequalities:

`\begin{gathered} -8u\leq96 \\ \\ -9c<126 \end{gathered}`

To solve these, first of all note that: Dividing both sides of an inequality by a negative number changes the inequality sign to the opposite.

For

`-8u\leq96`

Divide both sides of the inequality by -8

`(-8u)/(-8)\ge(96)/(-8)`

Therefore

`u\ge-12`

For

`-9c<126`

Divide both sides of the inequality by -9

`\begin{gathered} (-9c)/(-9)>(126)/(-9) \\ \\ c>-14 \end{gathered}`