Question

Which of the following is not an equivalent form of the compound inequality

x + 15 less than or greater to 12 and x + 15 greater than or equal to 5

12 greater than or equal to x + 15 greater than or equal to 5

-3 greater than or equal to x greater than or equal to -10

A number line with a closed circle on -10, a closed circle on -3, and shading in between.

A number line with a closed circle on -10, shading to the left, and a closed circle on -3, shading to the right.

Answer 1

@kelliegirl33

Answer 2

\(x + 15 \le 12\) and \(x + 15 \ge 5\)

Subtract 15 from both sides in both inequalities:

\(x \le -3\) and \(x \ge -10\)

Answer 3

x + 15 >= 5
x >= 5 - 15
x >= -10

x + 15 <>12 -- I don't understand the " less then or greater to"
x <> 12 - 15
x <> -3

I don't know how to answer this with the " less then or greater to "

Answer 4

@sasogeek ...can you look at this please

Answer 5

I think he meant "less than or _equal_ to." Notice he used "to" instead of "than."

Answer 6

well that definitely makes a difference

Answer 7

x + 15 <= 12
x <= 12 - 15
x <= -3

so we have x <=-3 and x >= -10

Answer 8

@mathstudent55 ...can you help me with this ?

If I go by this I know the last choice is incorrect.
But I don't understand where the first two answer choices come in.

Answer 9

second choice is correct

Answer 10

ok...

Answer 11

The first choice is:
A. \(12 \ge x + 15 \ge 5\)
which is the same as
\( 5 \le x + 15 \le 12 \)

Answer 12

That is exactly what the original statement means, so choice A is correct.

Answer 13

b is correct

Answer 14

c is correct

Answer 15

And Finally I am confused.

Answer 16

d is your answer

Answer 17

if its greater then,shading goes to the right....if it is less then, shading goes to your left

Answer 18

B. is correct because

\(-3 \ge x \ge -10 \)

means the same as my solution above,

\(x \le - \) and \(x \ge -10 \), or

\(-10 \le x \le -3\)

Answer 19

I believe the answer is D...what you think mathstudent ?

Answer 20

Choice C. is correct because it means
\(-3 \le x \le -10\)

Answer 21

Choice D. means
\(x \le -10 \) or \( x \ge -3 \)
which is not the solution.

Answer 22

thanks for the help mathstudent.....the first choice confused me

Answer 23

and so did the less then or greater to