Answer:
27 > q
Step-by-step explanation:
Solving an algebraic inequality is very similar to solving an algebraic equation, one uses inverse operations. One major difference between the two is that when one multiplies or divides an algebraic inequality by a negative number, one must remember to flip the inequality sign.
55 - 5q > 4 ( 7 - q )
Distribute,
55 - 5q > 28 - 4q
Inverse operations,
55 - 5q > 28 - 4q
+5q +5q
55 > 28 + q
-28 -28
27 > q
