Q. 64.3( 28 Votes )
Solve the inequalities in Exercises 5 to 16 for real x:
3x – 7 > 5x – 1
Answer :
It is given in the question that,
3x – 7 > 5x – 1
Adding 7 to both the sides,
3x – 7 + 7 > 5x – 1 + 7
3x> 5x + 6
Subtracting 5x from both the sides,
3x – 5x > 5x + 6 – 5x
-2x > 6
Dividing both sides by -2
x < -3
∴ The solutions of the given inequality are defined by all the real numbers less than -3.
Thus, (-∞, -3) is the required solution set.
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