Question

Solve (x + 2 < 5) ∩ (x - 7 > -6).

x
x < 3 or x > 1
{all real numbers}

Answer 1

x

Explanation:

hope this helps.

Answer 2

For this case we must find the solution set of the given inequalities:

Inequality 1:

`x + 2 <5`

Subtracting 2 from both sides of the inequality we have:

`x <5-2\\x <3`

Thus, the solution is given by all values of x less than 3.

Inequality 2:

`x-7> -6`

Adding 7 to both sides of the inequality we have:

`x> -6 + 7\\x> 1`

Thus, the solution is given by all values of x greater than 1.

Therefore, the solution set is given by all real numbers.

Answer:

All real numbers