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

Asked by Abhisek | 1 year ago |  102

##### Solution :-

Given that,

3x – 7 > 5x – 1

Now by adding 7 to both the sides, we get

3x – 7 +7 > 5x – 1 + 7

3x > 5x + 6

Again by subtracting 5x from both the sides,

3x – 5x > 5x + 6 – 5x

-2x > 6

Dividing both sides by -2 to simplify we get

$$\dfrac{-2x}{-2}<\dfrac{6}{-2}$$

x < -3

The solutions of the given inequality are defined by all the real numbers less than -3.

Hence the required solution set is (-∞, -3)

Answered by Pragya Singh | 1 year ago

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