Question

Choose the correct description of the graph of the compound inequality

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






A)A number line with an open circle on -2, shading to the left, and a closed circle on 5, shading to the right
B)A number line with a closed circle on -2, shading to the left, and an open circle on 5, shading to the right
C)A number line with an open circle on -2, a closed circle on 5, and shading in between
D)A number line with a closed circle on -2, an open circle on 5, and shading in between

Answer 1

@amorfide

Answer 2

hey i need help on that @amorfide

Answer 3

okay do you mean
3x less than or equal to 15

Answer 4

sorry its this one
x - 2 > -4 and 3x less than or greater to 15.

Answer 5

i am going to repeat my question
do you mean
3x less than or equal to 15

Answer 6

\[3x \le 15\]

Answer 7

do you mean that

Answer 8

yes

Answer 9

okay so

Answer 10

first we need to solve for x
x-2 > -4
solve for x

Answer 11

gimmie a sec im tying to solve this

Answer 12

its gunna be b

Answer 13

no

Answer 14

x-2>-4
x>-2

when we have greater than -2, it means it can not be equal to -2 but we want every value above -2

to put this on a number line
to say we want greater than -2 but not equal to -2 we use an empty circle
since the sign is greater than, then we want to shade to the right of -2
like this

Answer 15

now we have
\[3x \le 15\]
solve for x to get
\[x \le 5\]

Answer 16

when we want to draw equal to, on a number line, we do a circle that is shaded in
and we want less than 5 also so we shade in the left side of 5