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trasher [3.6K]
3 years ago
13

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 ≥ 1

7 C. x ≥ 3 D. x < -10 or x ≥ 3
Mathematics
2 answers:
Ilya [14]3 years ago
6 0

<u>Answer:</u>

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

<u>Step-by-step explanation:</u>

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

x < -10

7x-4\geq 17

7x\geq 17+4

x\geq \frac{21}{7}

x ≥ 3

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

dimaraw [331]3 years ago
4 0

Answer: OPTION D

Step-by-step 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

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

and for the second inequality you have:

x\geq3

Therefore, the solution is:

x

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