Question

Choose the correct description of the graph of the compound inequality

x - 2 > -4 and 3x less than or equal to 15

A number line with an open circle on -2, shading to the left, and a closed circle on 5, shading to the right.

A number line with a closed circle on -2, shading to the left, and an open circle on 5, shading to the right.

A number line with an open circle on -2, a closed circle on 5, and shading in between.

A number line with a closed circle on -2, an open circle on 5, and shading in between.

Answer 1

do you know how to solve the inequalities ?

Answer 2

compound inequalities confuse me

Answer 3

separate them to solve them....
do this one : x - 2 > 4

then do this one : 3x <= 15

do them separately and what do you get ?

Answer 4

oops...x - 2 > -4

Answer 5

I will do the first one, and you do the second one..
x - 2 > -4 -- add 2 to both sides
x > -4 + 2
x > -2
now you do the other one

Answer 6

you gonna try ?

Answer 7

alright i will. hold on

Answer 8

3x <= 15 -- divide both sides by 3 and what do you get ?

Answer 9

x<=5

Answer 10

so now we have : x > -2 and x <= 5

remember this...
if there is no equal sign, it is an open circle
if there is an equal sign, it is a closed circle
< less then means shading to the left
> greater then means shading to the right

so what do you think the answer is ?

Answer 11

it can also be written like this..
-2 < x <= 5

Answer 12

the third one?

Answer 13

correct :)

Answer 14

nice work :)

Answer 15

thanks (: