Question

What is the opposite of this inequality?
-x\leq -8

A. x\leq 8
B. x\geq -8
C. x\leq -8
D. x\geq 8

Answer 1

\[-x\leq -8\]

Answer 2

@mathmale @pooja195

Answer 3

Question is hard to decipher. What do you mean by "opposite" in this context?

Answer 4

-x\leq -8 is a bit hard to read.
\[-x\leq -8\]

Answer 5

is the result I get when I copy and paste -x\leq -8 into the Equation Editor screen.

Answer 6

You might want to solve\[-x\leq -8\]

Answer 7

Hmmm it asks the opposite of that. I could do the answers as well fi you want XD

Answer 8

... for x.

Answer 9

I don't understand how do I do the opposite? Do I add -8 +8?

Answer 10

I don't understand what you mean by "opposite" in this context.

I'd suggest you solve \[-x\leq -8\]

Answer 11

... for x and then write a NEW SET for the part of the number line not described by \[-x\leq -8\]

Answer 12

ohhh

Answer 13

To do this:

1) Mult. both sides of the given inequality by (-1)
2) Reverse the direction of the inequaltiy sign

Answer 14

how would I multiply both sides? And is negative times negative, positive?

Answer 15

\[(-1)[-x\leq -8]\]

Answer 16

Hope the above answers your question. And yes, neg times neg is pos.

Answer 17

(-1)(-x)=?

Answer 18

(-1)(-8)=?

Answer 19

-1 x -8 = 8. -1 x -x = x?

Answer 20

Very important that you include parentheses here for clarity. See what I did, above. (-1)(-x) = x. that's it.

Answer 21

After y ou've done this, change the direction of the inequality sign.

Answer 22

I get \[x \ge 8.\]

Answer 23

ohhh

Answer 24

"x is equal to or greater than 8."

I'd suppose that the "opposite" to which you were referring would be the part of the number line NOT covered by "x is equal to or greater than 8". that would be "x is less than 8."

I need to excuse myself right now, but will be back on OpenStudy in an hour or so.

Answer 25

D