What is the solution of 2-(x+4)is greater than or equal to 3-2x
To solve the inequality 2 - (x + 4) ≥ 3 - 2x, we can follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
2 - x - 4 ≥ 3 - 2x
Step 2: Combine like terms:
-2 - x ≥ 3 - 2x
Step 3: Move the variable terms (those with x) to one side of the inequality and the constant terms to the other side. The goal is to isolate x on one side of the inequality:
-2 + 2x - x ≥ 3
Simplifying further:
x - 2 ≥ 3
Step 4: Move the constant term (-2) to the other side by adding 2 to both sides of the inequality:
x - 2 + 2 ≥ 3 + 2
Simplifying:
x ≥ 5
So, the solution to the given inequality is x ≥ 5.