4(x+1/2)-2(x+3/2) less than. Or equal to 5 ( i. Solved it im just checking my answers to be sure )
4(x+1/2)-2(x+3/2) ≤ 5
4x + 2 - 2x - 3 ≤ 5
2x ≤ 6
x ≤ 3
4 ( x + 1 / 2 ) - 2 ( x + 3 / 2 ) <= 5
4 x + 4 / 2 - 2 x - 6 / 2 <= 5
4 x + 2 - 2 x - 3 <= 5
2 x - 1 <= 5 A dd 1 to both sides
2 x - 1 + 1 <= 5 + 1
2 x < = 6 Divide botg sides by 3
x <=3
x less or equal 3
To solve the inequality 4(x + 1/2) - 2(x + 3/2) ≤ 5, you can follow these steps:
Step 1: Simplify the expression on both sides of the inequality:
4(x + 1/2) - 2(x + 3/2) ≤ 5
4x + 2 - 2x - 3 ≤ 5
Combine like terms:
2x - 1 ≤ 5
Step 2: Add 1 to both sides of the inequality to isolate the x variable:
2x - 1 + 1 ≤ 5 + 1
2x ≤ 6
Step 3: Divide both sides of the inequality by 2 to solve for x:
(2x)/2 ≤ 6/2
x ≤ 3
So, the solution to the inequality 4(x + 1/2) - 2(x + 3/2) ≤ 5 is x ≤ 3.