Question

Solve the inequalities for real x for the following equation: 4x + 3 <5x +7.

Answer 1

4x + 3 < 5x + 7

Subtract 5x from both sides:

4x + 3 - 5x < 7

-x + 3 < 7

Subtract 3 from both sides:

-x < 7 - 3

-x < -4

Divide both sides by -1

x > 4

Answer 2

Given : Inequality  4x+3<5x+7     , x ∈ R  

To Find : Solve

Solution:

4x+3 < 5x + 7

Subtract 4x from both sides

=> 4x + 3  - 4x < 5x  + 7  - 4x

=> 3  <  x  + 7

Subtract 7 from both sides

=> 3 - 7 < x + 7 - 7

=> - 4 < x

=> x  > - 4

x ∈ ( - 4 , ∞ )

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