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Compound Inequalities
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True or False? If false, correct with the correct the statement. When the graphs of compound inequalities overlap, the graph is called a union.
False. It's called an intersection.
A kite can be flown in wind speeds no less than 7 miles per hour and no more than 16 miles per hour. Write an inequality for the wind speeds at which the kite can fly.
7 ≤ x ≤ 16
True or False? There are two types of compound inequalities.
True
Write the inequality that represents the graph.
x < 1/2
Solve the inequality.
v ≥ 0
Solve for a.
a < 3
Solve the inequality.
m ≤ -40
Solve for y.
No real numbers
Solve the inequality.
all real numbers
Write an inequality.
2/3x + 5 > 17
Solve for b.
b > -2
Solve for d.
d ≥ -16
Write the inequality and solve it.
2x + 3 < x - 4; x < -7
Write the inequality: If 5 times a number is decreased by 2, the result is at most 26.
5x - 2 ≤ 26
Read and solve.
x < 23 and x > 33; 23 > x > 33
Solve and graph the compound inequality.
y ≤ -4 or y < -3
Write the inequality and solve.
-5n > 35 OR -5n < 10; n < -7 or n > -2
Write a compound inequality for the word problem.
a < 13 or a ≥ 65
Solve and graph the compound inequality.
x > -5 or x < -8
Read and answer.
11.2 ≤ x ≤ 11.4
Solve and graph the compound inequality:
-1 ≤ c < 2
Solve the compound inequality:
m > -1 or m < -6
Solve the compound inequality:
-4 < x < -1
Complete the statement: A compound inequality containing ______ is true if at least ______ of the inequalities is true.
OR, One
Complete the statement: A compound inequality containing ______ is only true if ________ inequalities are true.
AND, Both
Write a compound inequality to represent the image.
x < 6 or x > 9
Write a compound inequality to represent the image.
40 ≤ x ≤ 70
Write a compound inequality for the graph.
-3 ≤ x < 2
Write a compound inequality for the graph.
0 ≤ x < 3
Write a compound inequality for the graph.
x < -2 or x > 6
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