Question

Solve the inequality for h. h-8> 4h+5. write the answer in simplest form

Answer 1

`h-8>4h+5`

Subtract '4h' from both RHS (Right-Hand side) and LHS of the inequality (Left-Hand side).

`\begin{gathered} h-8-4h>4h+5-4h \\ (h-4h)-8>5+(4h-4h) \\ -3h>5 \end{gathered}`

Add '8' on both LHS and RHS of the above expression.

Divide both RHS and LHS of the above expression with '-3'. Whenever an inequality is divide or multiple with a negative value, the sign of the inequality shifts. Here, the above expression is dividing with '-3'. Thus, the > symbol shifts to < symbol.

`\begin{gathered} (-3h)/(-3)<(5)/(-3) \\ h<(-5)/(3) \end{gathered}`

Thus, the iniequality for h is h<-(5/3).