Question 18 Solve the given inequality and show the graph of the solution on number line: 5x – 3 ≥ 3x – 5
Class X1 - Maths -Linear Inequalities Page 122
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5x - 3 ≥ 3x - 5
subtract 3x from both sides,
5x - 3x - 3 ≥ 3x - 3x - 5
2x - 3 ≥ -5
add 3 both sides,
2x ≥ - 5 + 3
2x ≥ -2
x ≥ -1 , x € [ -1, ∞ )
in number line : see attachment ! red part shows x ≥ -1
subtract 3x from both sides,
5x - 3x - 3 ≥ 3x - 3x - 5
2x - 3 ≥ -5
add 3 both sides,
2x ≥ - 5 + 3
2x ≥ -2
x ≥ -1 , x € [ -1, ∞ )
in number line : see attachment ! red part shows x ≥ -1
Attachments:
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