Final answer:
The number that is not a solution to the inequality -4x > 8 is -3 because when the inequality is solved to find x < -2, the value -3 does not satisfy this condition while the other numbers do.
Step-by-step explanation:
The statement given is an inequality, but it contains a typo or is incomplete. Assuming the rectified inequality is -4x > 8, we need to find which of the given numbers (-3, -1, 0, 2) is not a solution. To solve the inequality, we divide both sides by -4, remembering to reverse the inequality sign because we are dividing by a negative number:
x < -2
By comparing the numbers to the solution x < -2, we can find which number is not a solution:
- -3 < -2 (false, -3 is not greater than -2)
- -1 < -2 (true, -1 is greater than -2)
- 0 < -2 (true, 0 is greater than -2)
- 2 < -2 (true, 2 is much greater than -2)
Therefore, the number that is not a solution to the inequality -4x > 8 is -3.