Question

The product of and the sum of a number and - 4 is less than or equal to 64. What are all the possible values of the number?

Answer 1

All possible values of the number are any value greater than or equal to -22.67.

Step-by-step explanation:

To find the possible values of the number, we can set up an inequality equation. Let's say the number is x.

The product of x and -4 can be written as (-4x) and the sum of x and -4 can be written as (x + (-4)).

The inequality can be written as (-4x) + (x + (-4)) ≤ 64. Simplifying this expression, we get -3x - 4 ≤ 64.

To solve for x, we can add 4 to both sides of the inequality, resulting in -3x ≤ 68.

Then, divide both sides by -3, giving us x ≥ -22.67.

Therefore, all possible values of the number x are any value greater than or equal to -22.67.