May 2021 2 71 Report
Compound inequalities?

So i thought i knew this but when i got my test back i completely bombed it :/

I would really appreciate it if you guys could help me out, I'm in a bit of a rush to finish as much of this online course as I can in these next few days.

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

a. a number line with closed circles at -3 and 6 and shading in between.

b. number line with open dots at -3 and 6 and shading to the right of 6 and to the left of -3.

c. number line with open dot at -2 and at 5 with shading in between.

d. number line with shading everywhere.

Solve the compound inequality 6b < 42 or 4b + 12 > 8.

a. b < 6 or b > 5

b. b < 7 or b > −1

c. b < 7 or b > 1

d. b > 6 or b < 5

Solve the compound inequality 9 + 3n greater than or equal to 3 or 5n < 30.

a. n less than or greater to −2 or n < 6

b. n greater than or equal to −2 or n < 6

c. n greater than or equal to −5 or n > 6

d. n less than or greater to −5 or n > 6

Which of the following is the correct graph of the compound inequality n > 5 and n < 3?

a. open number line to illustrate the ¡°no real solutions¡± answer to this inequality problem.

b. number line with open dots at 3 and 5 and shading between them.

c. number line with open dots at -3 and -5 and shading between them.

d. number line with open dots at 3 and 5 and shading to the left of the 3 and to the right of the 5.

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 greater than or equal to −3?

a. −5x − 7 < −22 and −5x − 7 greater than or equal to −3

b. −5x − 7 > −22 and −5x − 7 greater than or equal to −3

c. −5x > −22 and −7 greater than or equal to −3

d. −5x − 7 < −22 and −5x − 7 less than or greater to −3

Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38?

a. number line with an open dot at 2 with shading to the left and another open dot at 8 with shading to the right.

b. number line with an open dot at 8 and at 2 with shading in between.

c. number line with a closed dot on 2 and an open dot on 8 and shading in between.

d. number line with closed dots at 2 and 8 with shading between the 2 and the 8.

Solve the compound inequality 30 < 10u < 120.

a. 3 < u < 4

b. 3 > u > 12

c. 3 < u < 4

d. 3 < u < 12


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