Question
Solve the following linear in-equation and graph the solution set on a real number line :
3x - 9 ≤ 4x - 7 < 2x + 5, x ∈ R
3x - 9 ≤ 4x - 7 < 2x + 5, x ∈ R
✓
Answer
3x - 9 ≤ 4x - 7
3x - 4x ≤ -7+9
- x ≤ 2
x ≥ -2
and
4x - 7 < 2x + 5
4x - 2x < 5 +7
2x < 12
x < 6
Solution set = [-2 ≤ x < 6]
3x - 4x ≤ -7+9
- x ≤ 2
x ≥ -2
and
4x - 7 < 2x + 5
4x - 2x < 5 +7
2x < 12
x < 6
Solution set = [-2 ≤ x < 6]
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