Solve the following compound inequality. −2x + 11 > 31 or 7x − 4 ≥ 17 Select one: A. x < -11 or x ≥ 6 B. x < 5 or x ≥ 17 C. x ≥ 3 D. x < -10 or x ≥ 3

Question

asked Jul 3, 2020 189k views

2 Answers

Istvanp · Answer 1 · 2020-07-05T22:54:07+0000

Answer:

The correct answer option is D. x < -10 or x ≥ 3.

Explanation:

We are given the following compound inequality and we are to solve it:

-2x + 11 > 31 or
$7x- 4 \geq  17$

Solving them to get:

-2x+11>31

-2x>31-11

-2x>20

x<-(20)/(2)

x < -10

$7x-4\geq 17$

$7x\geq 17+4$

$x\geq (21)/(7)$

x ≥ 3

Therefore, the correct answer option is D. x < -10 or x ≥ 3.

Desdenova · Answer 2 · 2020-07-08T14:05:02+0000

Answer: OPTION D

Explanation:

Solve for x in each inequality given in the problem, as you can see below:

-2x+11>31

$-2x+11>31\\-2x>31-11\\-2x>20\\x<-10$

$7x-4\geq17\\7x\geq17+4\\7x\geq21\\x\geq3$

Finally you must make the union of both solutions obtained above.

Then for the first inequality you have:

x<-10

and for the second inequality you have:

$x\geq3$

Therefore, the solution is:

$x<-10\ or\ x\geq3$