Rational Inequalities Answers

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What is the solution of ?

Question illustration
A
x –3 or 2 x 7
Option A
B
x –3 or 2 x 7
Option B
C
–3 x 2 or x 7
Option C
D
–3 x 2 or x 7
Option D
2
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Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours. The plant manager knows the two machines will take at least 6 hours, as represented by the inequality: Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable completion times of machine 1?

Question illustration
A
; both contain viable times for machine 1
Option A
B
; only contains viable times for machine 1
Option B
C
; no interval contains viable times for machine 1
Option C
D
; but only contains viable times for machine 1
Option D
3

What is the solution of ?

Question illustration
A
or
Option A
B
or
Option B
C
Option
Option C
D
Option
Option D
4

What is the solution of ?

Question illustration
A
–4 x 1 and x –1
Option A
B
x –4 or x 1
Option B
C
x –4 or x –1
Option C
D
–4 x 1 and x –1
Option D
5

Two hoses are filling a pool. The first hose fills at a rate of x gallons per minute. The second hose fills at a rate of 15 gallons per minute less than the first hose. To meet the pool maintenance company’s schedule, the pool needs to fill at a combined rate of at least 10 gallons per minute. The inequality represents the combined rates of the hoses:Which answer choice includes all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses?

Question illustration
A
; both intervals contain viable rates for the hoses
Option A
B
; only contains viable rates for the hoses
Option B
C
no interval contains viable rates for the hoses
Option C
D
only contains viable rates for the hoses
Option D

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