Find and review the slope formula.
The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a
Write out this formula for a=-3, b=-4, c=6 and d=-1.
Let x be the number of pastries they must sell.
$3.50x≥140
This inequality states that for the number of pastries at 3.50 dollars each must be greater than or equal to 140. Solve for x.
The upside down U means the numbers the sets have in common.
Do what is in parenthesis first:
(B ∩ C) = 6 is the only common number in set B and Set C.
A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).
The answer would be A) {1, 3, 5, 6, 7, 9}
The horizontal line has equation
. The line is solid, and everything below it is shaded, which translates to the inequality
. (so not B nor D)
The dashed line must have equation
. Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both
and
, so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be
.
This means the answer is A.