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laura determined the difference between 8 and –2 using the additive inverse. her steps are shown below.
8 – (–2) = –8 + 2 = –6
which best describes the error in laura’s work?
the 8 should have remained positive.
the 2 should have remained negative.
the addition of –8 and 2 was computed incorrectly.
the 8 should have remained positive, and the 2 should have remained negative.
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The 8 should have remained positive.

Step-by-step explanation:

8-(-2)=8+2=10

Two negatives make a positive so 8-(-2) will turn into 8+2.

Laura was wrong because she thought the 8 turned to a negative but that makes no sense.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true