Question

17. Solve the inequality (2x-5)>(1-5x) and represent the solution graphically on the number
line.​

Answer 1

Answer:x=1.33

Step-by-step explanation:

(2x-5)>(1-5x)

(2x-5x)=(1-5)

-3x= -4

Divide the equation by -3 on both side,

-3x/-3 = -4/-3

x = 1.33

The solution lies from (1.33 to infinite)

Answer 2

The solution of the inequality 2x - 5 > 1 - 5x is

x > 6/7

Step-by-step explanation:

The given inequality is

$2x-5>1-5x$

$\implies 2x+5x>1+5$    (Bringing the terms on the other side of inequality changes their sign)

$\implies 7x>6$

$\implies x>\frac{6}{7}$   (Dividing both sides by 7, dividing by positive number has no effect on inequality)

The graph is attached.

Hope this answer is helpful.

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