Question

10 solve the inequality: 19 - 6m < - 5(6m + 1)
circle all of the values that are solutions to the inequality above. be sure to select all solutions.
-5 -3 0 -\frac{2}{3}
-1 3 -\frac{3}{2} -\frac{5}{2}

Explanation:

Step1: Expand the right - hand side

$19 - 6m<-5(6m + 1)$ becomes $19 - 6m<-30m-5$.

Step2: Add $30m$ to both sides

$19 - 6m+30m<-30m - 5+30m$, which simplifies to $19 + 24m<-5$.

Step3: Subtract 19 from both sides

$19 + 24m-19<-5-19$, resulting in $24m<-24$.

Step4: Divide both sides by 24

$\frac{24m}{24}<\frac{-24}{24}$, so $m < - 1$.

Answer:

-5, -3, $-\frac{2}{3}$, $-\frac{3}{2}$, $-\frac{5}{2}$