Question

List the solution set of 25-4(2x-1) when greater than 25

Answer 1

25 - 4 (2x - 1 ) > 25

25 - 8x + 4 > 25

-8x > 25 - 4 - 25

-8x > -4

x < -4/-8  ( greater than sign changes to less than because the value in the right hand side is being divided by a negative value from the left hand side)

x < 1/2 .................ANSWER

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Answer 2

Thus, the solution set is x=(1/4,1/8,0....).

Given:

25-4(2x-1) is greater than 25.

To find:

The solution set.

Solution:

To determine the solution set we have to follow the below steps as follows-

The given expression is 25-4(2x-1) is greater than 25.

Thus we can write-

$25 - 4(2x - 1) > 25 \\ 25 - 8x + 4 > 25 \\ 29 - 8x > 25 \\ - 8x > - 4$

On multiplying both sides by -1, the inequality reverses so, we can write-

$8x < 4 \\ x < \frac{1}{2}$

Thus, the solution set is x=(1/4,1/8,0....).

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