Question

Choose the correct description of the graph of the compound inequality

2x + 5 > 9 and 5x less than or equal to 30

Answer choices:
A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right.

A number line with an open circle on 2, a closed circle on 6, and shading in between.

A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right.

A number line with a closed circle on 2, an open circle on 6, and shading in between.

Answer 1

Start by simplifying each statement.

Answer 2

(each of the two inequalities, I mean. The one given in algebra and the other given in words.)

Answer 3

I don't know how to do that,

Answer 4

@hartnn @Preetha ??

Answer 5

2x + 5 > 9
subtract 5 from both sides, what you get ?

Answer 6

2x > 4

Answer 7

yes, so divide 2 from both sides....to isolate 'x'

Answer 8

x > 2 ?

Answer 9

yes, thats correct.
now 2nd part
5x less than or equal to 30
\(5x \le 30\)
can you isolate x here ?

Answer 10

\[x \le 6 ?\]

Answer 11

yes, so now you have to simplify ,
\(x>2 \quad and \quad x\le 6\)

Answer 12

can you ?

Answer 13

or you can look at the options and figure out

Answer 14

I don't know how to do that.

Answer 15

x>2 means there will be shading on right of 2
since x cannot be =2, the circle will be open,

got this part ?

Answer 16

Yes.

Answer 17

x<= 6 means shading to left of 6 and since x can take value of 6, its closed circle,

so now what you think ? which option ?