Question

Solve the following inequality using an algebraic approach:

-4 < 3x + 11
a. -3 < x < 2
b. 2 < x
c. -3
d. -3 < x^2

Answer 1

To solve the inequality -4 < 3x + 11 algebraically, subtract 11 from both sides and divide by 3 to isolate x. The solution is x > -5, or (-5, ∞).

Step-by-step explanation:

To solve the inequality -4 < 3x + 11 algebraically, we need to isolate x. First, subtract 11 from both sides to obtain -15 < 3x. Then, divide both sides by 3 to get -5 < x. So, the solution is x > -5, which can be written as (-5, ∞).