Solve using the addition principle
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Solve using the addition principle.
-6 = x – 2
To solve the given inequality using the addition principle, follow these steps:
1. Simplify both sides of the inequality:
2x + 3 ≤ x + 5
2. Rearrange the inequality so that all the variable terms are on one side and the constant terms are on the other side. In this case, subtract x from both sides:
2x - x + 3 ≤ x - x + 5
x + 3 ≤ 5
3. Now, isolate the variable by subtracting 3 from both sides:
x + 3 - 3 ≤ 5 - 3
x ≤ 2
Therefore, the solution set for the inequality 2x + 3 ≤ x + 5 is {x | x ≤ 2}.