Add 2x and subtract 7
5 -2x +2x < 7 +2x . . . . . . showing 2x added
5 < 7 +2x . . . . . . . . . . . .. simplified
5 -7 < 7 -7 +2x . . . . . . . . showing 7 subtracted
-2 < 2x . . . . . . . . . . . . . . . simplified
Now, divide by 2
-1 < x
The solution is -1 < x.
Answer:
D
Step-by-step explanation:
We can assume that the rim of the canyon is 0. Sarah started 3 miles <u>below</u>, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles <u>above</u> zero. So the 3 miles she went <em>before</em> reaching the rim plus the 8 miles she went <em>after</em> reaching the rim equals 11 miles.
So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:

When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.
I hope this helps!
Answer:
(-2, 5)
Step-by-step explanation:
A reflection across the origin turns the point (a, b) into (-a, -b).
Answer: x = −12
Step-by-step explanation:
−27 = x −15
x − 15 = −27
x − 15 + 15 = −27 + 15
x = −12