Solve (x + 2 < 5) u (x - 7 > -6). -6 < x < 5 x x < 0

Question

asked Mar 27, 2022 214k views

1 Answer

Gurbir · Answer 1 · 2022-04-01T12:02:35+0000

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.