167k views
2 votes
Solve the inequality.

3 - 2a < 7

a. a < -2

b. a < 2

c. a > -2

d. a > 2


solve the inequality.

3m > 9

a. m > 6

b. m < - 6

c. m < 3

d. m > 3


solve the inequality.

|x + 6| > 15

a. x > -21 or x < 9

b. x < -21 or x > 9

c. -21 < x < 9

d. -9 < x < 9

User Pariola
by
6.1k points

1 Answer

0 votes

1.) 3-2a<7

Subtract 3 from each side:

-2a<4

Divide both sides by -2, when you divide both sides of an inequality by a negative number, you also need to flip the direction of the inequality sign.

a >-2

Answer is C.


2.) 3m>9

Divide both sides by 3:

m >3

Answer is D.


3.) |x + 6| > 15

Remove the absolute value term and add a + and - to the right side:

x+6 > +/- 15

Now make 2 equations and solve x for both:

x +6<15

x >9

and

x+6 >-15

x<-21

The answer is B.



User Eblume
by
5.1k points