Question

solve the inequality.
$\frac{8}{5}>s + \frac{12}{5}$
the solution is
graph the solution.

Explanation:

Step1: Isolate the variable s.

Subtract $\frac{12}{5}$ from both sides of the inequality $\frac{8}{5}>s + \frac{12}{5}$. We get $\frac{8}{5}-\frac{12}{5}>s+\frac{12}{5}-\frac{12}{5}$.

Step2: Simplify the left - hand side.

$\frac{8 - 12}{5}>s$, so $-\frac{4}{5}>s$ or $s<-\frac{4}{5}=- 0.8$.

Answer:

$s<-\frac{4}{5}$

To graph the solution:

1. On the number - line, find the point $-0.8$.
2. Since the inequality is $s < - 0.8$, we use an open circle at $-0.8$ (because $s$ cannot equal $-0.8$) and draw an arrow to the left to represent all the values of $s$ that are less than $-0.8$.