Twice the difference of a number and
4
is less than or equal to
17
.
2(x-4) ≤ 17
To solve the inequality, we first need to break it down into smaller steps.
The given inequality is:
2(x - 4) ≤ 17
To solve this, let's go step by step:
1. Distribute the 2 on the left side by applying the distributive property:
2x - 8 ≤ 17
2. Move the constant term (-8) to the right side:
2x ≤ 17 + 8
2x ≤ 25
3. Divide both sides of the inequality by 2 to solve for x:
x ≤ 25/2
Simplifying the equation, we get:
x ≤ 12.5
So, the solution to the given inequality is x being less than or equal to 12.5.