Question

Is the correct answer C?
Solve.

2x + 6 ≥ –4

A.
x ≥ –8

B.
x ≤ –8

C.
x ≤ –5

D.
x ≥ –5

Answer 1

Close, why did you switch the direction of the sign?

Answer 2

idk i just thought you had to, i remembered learning something that you had to switch the sign for some reason but forgot the reason

Answer 3

hint:
if I subtract 6 to both sides, I get:
\[2x + 6 - 6 \geqslant - 4 - 6\]

Answer 4

So what is -4 - 6?

Answer 5

-4 - 6 = -4 + -6 = -10

Answer 6

good now you have 2x ≥ -10 so do you know what to do next?

Answer 7

correct! so I can rewrite the original inequality as below:
\[2x \geqslant - 10\]

Answer 8

2x/2
-10/2 = -5

Answer 9

Yes! just divided 2 from both sides and now we have x ≥ -5

Answer 10

ty

Answer 11

yes!

Answer 12

:)