Question

Which of the following is not a way to represent the solution of the inequality:
7 - 9x - (x + 12) 25?

A: x -3
B: x -3
C: -3 x
D: A number line with a closed circle on negative 3 and shading to the right

Answer 1

what's the inequality symbol here?

Answer 2

less than or equal too. right before 25. Apologies

Answer 3

and what about the choices?

Answer 4

\[7-9x-(x+12)\le25\]

Answer 5

-3x > 24
-3x < 4
-3x > -4
8 < x

Answer 6

ok well first, you wanna distribute the - into the parentheses

Answer 7

the - before the parentheses is understood to be -1 so you're really just changing the signs for everything in the parentheses

Answer 8

\[7 - 9x -x - 12 \le 25\]
then combine like terms

Answer 9

Ok. Im fallowing

Answer 10

so -9x and -x are like terms, as well as 7 and -12. combining them gives us \[-10x - 5 \le 25 \]

Answer 11

so then we would go −10x−5+5≤ 25 +5?

Answer 12

so now we start the process of getting x by itself. to do that we're going to the opposite operations. -5 is being subtracted, so we're going to add 5 to both sides. the 5 will be cancelled on the left side and make the 25 on the right, a 30

Answer 13

−10x−5+5≤25+5?

Answer 14

so then it would be: −10x≤20?

Answer 15

it would be \[-10x \le 30\]

Answer 16

Oh right! duh

Answer 17

and since -10 is being multiplied to x, and the opposite of multiplication is division, we're going to divide both sides by -10

Answer 18

then we devide both sides by -10?

Answer 19

and remember, when you multiply or divide an inequality by a negative number, you have to flip the inequality sign

Answer 20

x ≤ -3?

Answer 21

so \[x \ge -3\]

Answer 22

so how does that form the answer?

Answer 23

theres still the -4

Answer 24

what -4??

Answer 25

Sorry looking at the wrong problem :P. Thank you soo much!

Answer 26

oh lol

Answer 27

cheers

Answer 28

no problemo :)

Answer 29

good luck on your other questions