Question

(

Answer 1

A. A number line with an open circle on -4, shading to the left, and a closed circle on 3, shading to the right

Answer 2

we have the compound inequality

$x-3 < -7$ --------> inequality A

$x < -7+3$

$x < -4$

The solution inequality A is the interval-------> (-∞,-4)

A number line with an open circle on $-4$, shading to the left

$x+5 \geq 8$ --------> inequality B

$x \geq 8-5$

$x \geq 3$

The solution inequality B is the interval--------> [3,∞)

A number line with a closed circle on $3$, shading to the right

so

The solution inequality A or inequality B is equal to  

Solution A +Solution B=(-∞,-4) + [3,∞)

therefore

the answer is the option A

A number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right