Find the solution of inequality:
4x + 18 < 5x + 7
when x is a real number.

(-∞,11)

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(-∞,11)

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(-11,∞)

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(11, ∞)

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Solution

The correct option is D
(11, ∞)

Given:

4x + 18 < 5x + 7

$⟹$ 18 - 7 < 5x - 4x

$⟹$ 11 < x or x > 11

i.e.,
Solution set is (11,∞).

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The solution of inequality 4x + 3 < 5x + 7 when x is a real number is

Solve the given inequality for real x: 4x + 3 < 5x + 7

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5 x + 3 \leq 2 x + 18

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| 5 x - 7 | < - 18

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