8(m+5)>-32

Follow the same rules you use for solving an Eq EXCEPT when multiplying

or dividing by a negative number,REVERSE the inequality sign.

8(m+5)>-32.

Divide both sids by 8 and get:
m + 5 > -4,
m > -4 - 5,
m > - 9.

All real values of m greater than -9
will satisfy the inequality.

x<9

To solve the inequality 8(m + 5) > -32, we will apply a series of algebraic steps.

Step 1: Distribute the 8 to both terms inside the parentheses.
8m + 40 > -32

Step 2: Subtract 40 from both sides to isolate the variable.
8m > -72

Step 3: Divide both sides of the inequality by 8 to solve for m.
m > -9

Therefore, the solution to the inequality is m > -9.