Q. 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
Solve Inequality for x: First, let's solve the inequality 4x−2≤−20 for x. Add 2 to both sides of the inequality to isolate the term with x on one side. 4x−2+2≤−20+24x≤−18
Divide by 4: Next, divide both sides of the inequality by 4 to solve for x.44x≤4−18x≤−4.5
Check Solutions: Now, let's check each option to see which one is not a solution to the inequality x≤−4.5. (A) −7 is less than −4.5, so it is a solution. (B) −6 is less than −4.5, so it is a solution. (C) −5 is less than −4.5, so it is a solution. (D) −4 is greater than −4.5, so it is not a solution.
Identify Incorrect Solution: Since we are looking for the value that is not a solution to the inequality, the correct answer is (D)−4.
More problems from Does (x, y) satisfy the inequality?