Question

Solve (x + 2 < 5) u (x - 7 > -6).

x
x < 3 or x > 1
x

Answer 1

Given:

`(x+2<5)\cup (x-7>-6)`

To find:

The solution for x.

Solution:

We have,

`(x+2<5)\cup (x-7>-6)` ...(i)

Solve each inequality.

`x+2<5`

`x<5-2`

`x<3`

And,

`x-7>-6`

`x>-6+7`

`x>1`

It means (i) can be rewritten as

`(x<3)\cup (x>1)`

We know that "∪" means solution of x<3 or x>1 both are included in the solution set.

Solution = x<3 or x>1

Therefore, the correct option is B.