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.