Question

Solve the compound inequality 5x - 4 > 12 and -6x ≥ -36. Graph the solution set.

Answer 1

Given

The inequality is given

`\begin{gathered} 5x-3>12 \\ -6x\ge-36 \end{gathered}`Step-by-step explanation

Simplify the inequalities in terms of x.

`\begin{gathered} 5x-3>12 \\ 5x>12+3 \\ 5x\gt15 \\ x\gt3 \end{gathered}`
`(3,\infty)`

`\begin{gathered} -6x\ge-36 \\ x\leq(36)/(6) \\ x\leq6 \end{gathered}`

`(-\infty,6\rbrack`

The interval notation for the compound inequality is

[tex]3Answer

The graph for the solution set is