Substitute the value of x = -2 to the inequalities:
-3x < 1
(-3)(-2) < 1
6 < 1 FALSE
x - 7 < -4
-2 - 7 < -4
-9 < -4 TRUE
-12/x > 10
-12/(-2) > 10
6 > 10 FALSE
x + 7 > 5
-2 + 7 > 5
5 > 5 FALSE
Answer: x - 7 < -4
graph c
because the graph x = -2 is a vertical line at -2 on the x axis
Answer:
P = 68/552 = 0.123 or 12.3%
Step-by-step explanation:
First, let's calculate the probability of getting a lemon donut. We have only 4 lemon donut among 24 donuts, so probability is:
P(A) = 4/24
Next, as we already ate the lemon donut, we only have 23 donuts now, and among these 23, 17 are custard filled, so probability of choosing one of those is:
P(B) = 17/23
But we want to know the probability that the custard filled donut is choosen after you eat the lemon one so:
P(B|A) = P(A) * P(B)
Replacing:
P(B|A) = 4/24 * 17/23
P(B|A) = 68/552 = 0.123 or 12.3%