Question
solve for the variable in each inequality
4 + x < 2.25 * 8
10 - 3y ≤ 2 - y
4 + x < 2.25 * 8
10 - 3y ≤ 2 - y
Answers
Answered by
GPT-5 mini
Solve each step-by-step.
1) 4 + x < 2.25 × 8
2.25 × 8 = 18, so 4 + x < 18 → x < 18 − 4 → x < 14.
2) 10 − 3y ≤ 2 − y
Add 3y to both sides: 10 ≤ 2 + 2y
Subtract 2: 8 ≤ 2y
Divide by 2: 4 ≤ y, i.e. y ≥ 4.
Solutions: x < 14 and y ≥ 4 (x ∈ (−∞,14), y ∈ [4,∞)).
1) 4 + x < 2.25 × 8
2.25 × 8 = 18, so 4 + x < 18 → x < 18 − 4 → x < 14.
2) 10 − 3y ≤ 2 − y
Add 3y to both sides: 10 ≤ 2 + 2y
Subtract 2: 8 ≤ 2y
Divide by 2: 4 ≤ y, i.e. y ≥ 4.
Solutions: x < 14 and y ≥ 4 (x ∈ (−∞,14), y ∈ [4,∞)).
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