Question

What is the solution to –2(8x – 4) < 2x + 5?

a. x > 1/6
b. x < 1/6
c. x > 6
d. x < 6

Answer 1

Answer:Option 'A' is correct. i.e.
`x>(1)/(6)`

Explanation:

Since we know that

`-2(8x -4) < 2x + 5`

We need to solve for 'x':

So, it becomes,

`-2(8x -4) < 2x + 5\\\\-16x+8<2x+5\\\\-16x-2x>5-8\\\\-18x>-3\\\\x>(1)/(6)`

Hence, Option 'A' is correct. i.e.
`x>(1)/(6)`

Answer 2

A.
`x>(1)/(6)`

Explanation:

We are given the inequality,
`-2(8x-4)<2x+5`

On simplifying, we get,

`-2(8x-4)<2x+5`

i.e.
`-16x+8<2x+5`

i.e.
`-18x<-3`

i.e.
`6x>1`

i.e.
`x>(1)/(6)`

Thus, the solution of the inequality is
`x>(1)/(6)`.

Hence, option A is correct.