Question

Solve ( x + 1 < 5) ∩ ( x - 4 > -3).

Answer 1

The intersection of $(x+1-3)$ is $(1,4)$

Explanation:

The expression is $(x+1-3)$

To determine the intersection of these two inequalities, let us solve the two inequalities separately.

Consider $x+1$

Subtracting both sides by 1, we have,

$x$

Also, consider $x-4>-3$

Adding both sides by 4, we have,

$x>1$

Using these two simplified inequalities in the expression, we have,

$(x1)$

Writing this in the interval notation, we get,

$(-\infty, 4) \cap(1, \infty)$

Hence, the intersection of the two interval is

$(1,4)$

Thus, the intersection of $(x+1-3)$ is $(1,4)$