Question

Question 6 Solve the given inequality for real x: 3x – 7 > 5x – 1

Class X1 - Maths -Linear Inequalities Page 122

Answer 1

★ LINEAR INEQUALITIES ★
REDUCING LINEAR INEQUALITIES AT THEIR MAXIMUM EXTENT HERE , AND IN OTHER FEW CASES ; GENERALITY HAS BEEN USED UPTO PROPER EXTENDS
AS BEING CAREFUL WHILE CHOOSING INTEGRAL SOLUTIONS OF THE RESPECTIVE INEQUALITY

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Answer 2

3x - 7 > 5x - 1
add 7 both sides
3x - 7 + 7 > 5x -1 + 7
=> 3x > 5x + 6
subtract '5x' both sides,
[ Equal number may be added or subtracted from both sides of an inequality without affecting the sign of inequality ]
now,
3x - 5x > 5x -5x + 6
=> -2x > 6
multiply (-1) with both sides, sign of inequality will be changed.
=> 2x < -6
divide 2 with both sides,
x < -3 , hence x€ (-∞ , -3)
in number line .

-∞<___|-5___|-4 ___|-3____>∞
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