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Systems of Linear Inequalities
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Terms in this set (37)
dotted
< or > are graphed as a _________ line on a plane
solid
≤ or ≥ are graphed as a _________ line on a plane
above
Do you shade above or below the line y = mx + b when you see y > mx + b on a plane
below
Do you shade above or below the line y = mx + b when you see y < mx + b on a plane
left
Do you shade left or right of x = whatever when you see x < whatever
right
Do you shade left or right of x = whatever when you see x > whatever
solution set
the double-shaded region of a system of two inequalities is its ________
x ≥ 2
What inequality is graphed?
y ≥ 2
What inequality is graphed?
purple
Which colored section (blue, purple, or magenta) would be the solution set to the system:
y ≤ -2x + 6
y ≤ x/2 - 3
D
Which lettered section is the solution set to the system:
y > x
y ≤ (-4/3)x + 2
A
Which lettered section would be the solution set to the system:
y > x
y ≥ (-4/3)x + 2
II
Which numbered section is the solution set to the system:
y ≤ (1/2)x + 1
y ≥ -2x + 4
III
Which numbered section is the solution set to the system:
y ≤ (1/2)x + 1
y ≤ -2x + 4
white
Which colored section (white, red, purple, blue) would be the solution set to the system:
y < -x - 2
y ≥ 3x + 6
B
Which lettered section is the solution set to the system:
y ≥ (-7/2)x + 7
y ≤ (1/3)x - 2
I
Which numbered section is the solution set to the system:
y ≤ -x + 1
y ≥ (1/2)x + 2
IV
Which numbered section is the solution set to the system:
y ≥ -x + 1
y ≥ (1/2)x + 2
purple
Which colored section (white, red, purple) is the solution set to the system:
x > 2
x ≥ 3
red
Which colored section (white, red, purple) is the solution set to the system:
x > 2
x ≤ 3
white
Which colored section (white, red, purple) is the solution set to the system:
x < 2
x ≤ 3
less than
less than or equal to
greater than
greater than or equal to
shading above the boundary line
shading below the boundary line
Flip the inequality symbol:
whenever you divide by a negative number
What the shading represents:
all solutions of the inequality
y > 2x + 3
y > -2x + 3
y ≥ 2x + 3
y ≥ -2x + 3
y < 2x + 3
y < -2x + 3
y ≤ 2x + 3
y ≤ -2x + 3
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statistics
Two stores sell watermelons. At the first store the melons weigh an average of 22 pounds, with a standard deviation of 2.5 pounds. At the second store the melons are smaller, with a mean of 18 pounds and a standard deviation of 2 pounds. You select a melon at random at each store. a) What’s the mean difference in weights of the melons? b) What’s the standard deviation of the difference in weights? c) If a Normal model can be used to describe the difference in weights, what’s the probability that the melon you got at the first store is heavier?
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**Find the product, round to the nearest whole.** $$ \frac{5}{9} \times 52 $$
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Find the domain of each function. Write answers using interval notation. $f(x)=\sqrt{\frac{-1}{x^{3}-1}}$
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Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. $$ \begin{aligned} 2 x-5 y+z &=11 \\ 3 x+7 y-4 z &=8 \\ x-9 y+2 z &=4 \end{aligned} $$
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