Question

q + 12 – 2(q – 22) > 0

Answer 1

q + 12 -2q +44 > 0

Answer 2

q - 2q > -44-12

Answer 3

-q > -56

Answer 4

q > 56

Answer 5

q+12-2q+44>0
-q+56>0
-q>-56
q>56

Answer 6

Be careful when multiplying or dividing both sides of an inequality by a negative number.
q + 12 – 2(q – 22) > 0 distribute -2:
q + 12 - 2q + 44 > 0 combine like terms:
-q + 56 > 0 subtract 56 from both sides:
-q > -56 divide both sides by -1:
q < 56
When both sides of an inequality are multiplied or divided by a negative number, the inequality sign changes direction.