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
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OpenStudy (jchick):
a. 12 greater than or equal to x + 15 greater than or equal to 5
b. -3 greater than or equal to x greater than or equal to -10
c. A number line with a closed circle on -10, a closed circle on -3, and shading in between.
d. A number line with a closed circle on -10, shading to the left, and a closed circle on -3, shading to the right.
OpenStudy (jchick):
I was thinking b
OpenStudy (jchick):
@Nnesha
OpenStudy (jhannybean):
For the first part did you mean less than or equal to? I dont understand the `less than or greater to`
OpenStudy (jchick):
Yes I did
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OpenStudy (jchick):
@Nnesha
OpenStudy (jhannybean):
Well ok, then \[x+15 \le 12 \implies x \le ~?\]\[5 \le x+15 \implies x \le ~?\]
OpenStudy (jchick):
x<=-3
OpenStudy (jhannybean):
solve for both.
OpenStudy (jchick):
x>=-10
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OpenStudy (jchick):
I was just working on the second one
OpenStudy (jhannybean):
Alright, so you have \[1.~ x\le -3 ~,~ 2. -10\le x\] We can combine 1. and 2. to form one compound inequality as so: \[-10 \le x \le-3\]
OpenStudy (jhannybean):
One sec, I will brb.
OpenStudy (jchick):
Ok thanks
OpenStudy (jchick):
U still there?
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OpenStudy (jchick):
Answer is D right?
OpenStudy (jchick):
I am lost now.........
OpenStudy (jhannybean):
Yes it is.
OpenStudy (jhannybean):
Can you explain to me why you think it is D?
OpenStudy (jchick):
I think it was d because it was the only one that didn't match up when I graphed it
However I wasn't sure that I was graphing it correctly