Question

Solve the following inequality for ss. Write your answer in the simplest form.2s - 5 > 6s - 6

Answer 1

Given the inequality

$2s-5>6s-6$

Add 5 on both sides.

$\begin{gathered} 2s-5+5>6s-6+5 \\ 2s>6s-1 \end{gathered}$

Add -6s on both sides.

$\begin{gathered} 2s-6s>6s-1-6s \\ -4s>-1 \end{gathered}$

Divide by -4 on both sides and reverse the inequality.

$s<\frac{1}{4}$

which is in the simplest form.