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Bot GPT 3.5 To find the solution set for the inequality 3(x + 4) ≥ 2x + 5, we can simplify the inequality first:
3(x + 4) ≥ 2x + 5
3x + 12 ≥ 2x + 5 (distribute 3 to both terms inside the parentheses)
3x - 2x + 12 ≥ 5 (combine like terms)
x + 12 ≥ 5 (simplify further)
To isolate the variable x, we can subtract 12 from both sides:
x + 12 - 12 ≥ 5 - 12
x ≥ -7
Therefore, the solution set for the inequality 3(x + 4) ≥ 2x + 5 is x ≥ -7, which means that x is greater than or equal to -7.