Solve the inequality 5(x + 2) – 3x ≤ 4 + 2x + 3(x – 1). Write the solution as an inequality.
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Answer:
5x+10-3x<4+2x+3x-3
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Required Solution :-
→ 5 (x + 2) - 3x ≤ 4 + 2x + 3 (x - 1)
→ 5 × (x + 2) - 3x ≤ 4 + 2x + 3 × (x - 1)
→ 5x + 10 - 3x ≤ 4 + 2x + 3 × (x - 1)
→ 5x + 10 - 3x ≤ 4 + 2x + 3x - 3
→ 2x + 10 ≤ 4 + 2x + 3x - 3
→ 2x + 10 ≤ 4 + 5x - 3
→ 2x + 10 ≤ 1 + 5x
→ 10 ≤ 1 + 5x - 2x
→ 10 - 1 ≤ 5x - 2x
→ 9 ≤ 5x - 2x
→ 9 ≤ 3x
→ (9/3) ≤ (3x/3)
→ 3 ≤ x
- Refer the attachment for number line.
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