Question

4(6+x) is greater than or equal to -2x

Answer 1

solve for x?

Answer 2

yes

Answer 3

x greater than or equal to -4

Answer 4

Remember to get all xs on one side, then everything else on the other.

Answer 5

\[4(6+x) \geq -2x\]
\[24 + 4x \geq -2x\]
\[24 +6x \geq 0\]
\[6x \geq -24\]
\[x \geq -4\]

So any value of \(x\) which is greater than or equal to \(-4\) should make the original inequality true.

Let's try it out with x = -4

4(6 + (-4)) = 4 ( 2) = 8
and
-2(-4) = -8

It is indeed true that 8 is greater than or equal to -8.

Let's try it out for x = 0

4(6+(0)) = 24
and
-2(0) = 0

and one again 24 is greater than or equal to 0.