Question

Three times the difference of x and 4 is greater than or equal to -8 and is less than or equal to 10 (I'm garbage at this stuff and I don't know how to write it out)

Answer 1

To solve the inequality, we need to express the difference of x and 4 as x - 4. Then, we can simplify each inequality separately and solve for x to find the range of values.

Step-by-step explanation:

To solve the inequality, "Three times the difference of x and 4 is greater than or equal to -8 and is less than or equal to 10," we can follow these steps:

1. Let's define the difference of x and 4 as the expression x - 4.
2. Then, we can rewrite the inequality as 3(x - 4) ≥ -8 and 3(x - 4) ≤ 10.
3. We can simplify each inequality separately: x - 4 ≥ -8/3 and x - 4 ≤ 10/3.
4. Finally, we can solve each inequality to find the range of values for x: x ≥ -12/3 and x ≤ 22/3.

Therefore, the solution to the inequality is -4 ≤ x ≤ 22/3, or in decimal form, approximately -1.3333 ≤ x ≤ 7.3333.