Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.
a. a number line with an open circle on −6, shading to the left, and a closed circle on 5, shading to the right
b. a number line with a closed circle on −6, shading to the left, and an open circle on 5, shading to the right
c. a number line with an open circle on −6, a closed circle on 5, and shading in between
d. a number line with a closed circle on −6, an open circle on 5, and shading in between

this is the answer solution set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞). so which answer choice does this corresponds with above? ?

2

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.