Write an inequality for each graph.
38.
39.
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Ý
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ä
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40.
Þ
Ý
{
Ó
Þ
Ý
Ó
Ó
{
Ó
ä
{
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ä
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{
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41. Critical Thinking Compare the graphs of 30y < 90 + x and 30y + x < 90. How are
they alike? How are they different?
42. Home Economics Omar uses almonds and raisins
in a high-fiber recipe. Almonds have 3.3 g of fiber
per ounce and raisins have 2.7 grams of fiber per
ounce. He wants at least 5 grams of fiber from these
ingredients in a recipe.
a. Let x be the number of ounces of almonds and
y be the number of ounces of raisins. Write
and graph an inequality for the amount of
fiber from almonds and raisins that Omar
wants in the recipe.
b. If Omar uses 0.5 ounce of almonds, how many
ounces of raisins can he use?
c. What if...? Suppose Omar uses 2 ounces of almonds. What happens
to the value of y in the inequality? What does this mean in the context of
the problem?
43. A banquet room is to be filled with round tables and rectangular tables. The round
tables have 8 chairs each, and the rectangular tables have 6 chairs each. Let x be the
number of round tables and y be the number of rectangular tables.
a. Write and graph an inequality for the number of each type of table needed to
have at least 220 chairs.
b. Due to fire regulations, there can be no more than 300 chairs. Write and graph
an inequality to reflect this.
c. Compare your graphs. How do they differ?
44. Which inequality best represents the set of points
graphed here?
y < 2x + 3
y ≥ 2x + 3
4x - 2y < - 6
4x + 2y > 6
{
Ý
{
45. Which point is NOT a solution of 5x - 3y < 30?
(0, 0)
(3, -5)
(-5, 3)
(-3, 5)
ä
Ó
{
Ó
{
46. Which inequality is equivalent to 7x - 3y ≥ 4?
7x - _
4
4
7x - _
y≤_
y ≥ -_
3
3
3
3
7x + _
4
7x + _
4
y≤-_
y≥_
3
3
3
3
130
Chapter 2 Linear Functions
a207se_c02l05_0124_0131.indd 130
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