Which of the following values are solutions to the inequality 9>−3−4x

Question

I.3 II.−11 III.−3

Answer 1

To solve the inequality 9 > -3 - 4x, we can start by simplifying the right side of the equation:

-3 - 4x > 9

Next, we can add 3 to both sides of the inequality:

-4x > 12

To isolate x, we can divide both sides of the inequality by -4, remembering to flip the direction of the inequality since we're dividing by a negative number:

x < -3

Now we can check which of the given values are solutions to this inequality.

I. 3
Since 3 is not less than -3, it is not a solution to the inequality.

II. -11
Since -11 is less than -3, it is a solution to the inequality.

III. -3
Since -3 is equal to -3, it is not less than -3, so it is not a solution to the inequality.

Therefore, the only solution to the inequality is II. -11.