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Which of the following is not a solution of the inequality 
4x-2 <= -20 ?
Choose 1 answer:
(A) -7
(B) -6
(C) -5
(D) -4

Which of the following is not a solution of the inequality 4x220 4 x-2 \leq-20 ?\newlineChoose 11 answer:\newline(A) 7-7\newline(B) 6-6\newline(C) 5-5\newline(D) 4-4

Full solution

Q. Which of the following is not a solution of the inequality 4x220 4 x-2 \leq-20 ?\newlineChoose 11 answer:\newline(A) 7-7\newline(B) 6-6\newline(C) 5-5\newline(D) 4-4
  1. Solve Inequality for x: First, let's solve the inequality 4x2204x - 2 \leq -20 for xx. Add 22 to both sides of the inequality to isolate the term with xx on one side. 4x2+220+24x - 2 + 2 \leq -20 + 2 4x184x \leq -18
  2. Divide by 44: Next, divide both sides of the inequality by 44 to solve for xx.4x4184\frac{4x}{4} \leq \frac{-18}{4}x4.5x \leq -4.5
  3. Check Solutions: Now, let's check each option to see which one is not a solution to the inequality x4.5x \leq -4.5.
    (A) 7-7 is less than 4.5-4.5, so it is a solution.
    (B) 6-6 is less than 4.5-4.5, so it is a solution.
    (C) 5-5 is less than 4.5-4.5, so it is a solution.
    (D) 4-4 is greater than 4.5-4.5, so it is not a solution.
  4. Identify Incorrect Solution: Since we are looking for the value that is not a solution to the inequality, the correct answer is (D)4(D) -4.

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