Question

solve using the addition and multiplication principles.

(14x - 14 < -70)

select the correct choice below and fill in the answer box within your choice.

(simplify your answer.)

a. the solution set is (\\{x | x \le \box\\}).
b. the solution set is (\\{x | x \ge \box\\}).
c. the solution set is (\\{x | x < \box\\}).
d. the solution set is (\\{x | x > \box\\}).

Explanation:

Isolate the variable term

Using the Addition Principle knowledge point

$$
LATEXBLOCK0
$$

Solve for x

Using the Multiplication Principle knowledge point

$$
LATEXBLOCK1
$$

Identify the matching choice

The inequality \(x < -4\) corresponds to the solution set \(\{x \mid x < -4\}\). This matches option C.

Answer:

• (A) The solution set is \(\{x|x \le \Box\}\).
• (B) The solution set is \(\{x|x \ge \Box\}\).
• (C) The solution set is \(\{x|x < -4\}\). (Correct answer)
• (D) The solution set is \(\{x|x > \Box\}\).