Question

Solve the following inequality for h. Write your answer in simplest form. 8 - (5h - 3) > 5h - 5 - 8h hv Submit Answer attemp

Answer 1

Given the inequality:

`8-5h-3>5h-5-8h`

So, combine like terms

`\begin{gathered} -5h+8h-5h>-5+3-8 \\ -2h>-10 \end{gathered}`

Divide the two sides by (-2)

Note: the sign > will be <

`\begin{gathered} (-2h)/(-2)<(-10)/(-2) \\ \\ h<5 \end{gathered}`

So, the solution of the inequality is the interval ( - ∞ , 5 )

The solution on the number line will be as following: