4 − 4x < 16

a) x < −3
b) x > −3
c) x > 3
d) x < 3

1 answer

To solve the inequality 4 − 4x < 16, we first subtract 4 from both sides:
−4x < 12
Next, we divide both sides by -4. However, when dividing by a negative number, we must reverse the inequality sign:
x > -3
The correct answer is (b) x > -3.