Introduction to Inequalities

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Show your work for each problem.

1.
Which symbol means 'greater than'?
1. a) $>$
2. b) $=$
3. c) $\neq$
4. d) $<$
2.
Is the statement $5 < 9$ true or false?
1. a)True
2. b)Cannot be determined
3. c)False
4. d)Neither
3.
Fill in $<$ or $>$ : $12 \,\square\, 7$
4.
Fill in $<$ or $>$ : $3 \,\square\, 8$
5.
What does the symbol $\leq$ mean?
1. a)Not equal to
2. b)Less than
3. c)Greater than or equal to
4. d)Less than or equal to
6.
Which statement is TRUE?
1. a) $-5 \geq -2$
2. b) $-5 < -2$
3. c) $-5 = -2$
4. d) $-5 > -2$
7.
Fill in $<$ or $>$ : $-8 \,\square\, -3$
8.
Is the statement $7 \leq 7$ true or false?
1. a)False
2. b)Only true if less than
3. c)True
4. d)Only true if equal
9.
A ride requires you to be at least 130 cm tall. Which inequality describes the allowed height $h$ (in cm)?
1. a) $h < 130$
2. b) $h \geq 130$
3. c) $h \leq 130$
4. d) $h > 130$
10.
Order from least to greatest: $-4$ , $1$ , $-7$ , $3$
11.
You have 30 dollars and want to buy a book for 12 dollars and a toy. What's the maximum price for the toy? Write and solve the inequality.
12.
Which value does NOT satisfy $x \geq -2$ ?
1. a) $x = 0$
2. b) $x = 10$
3. c) $x = -5$
4. d) $x = -2$
13.
A pool gives free entry to children under 10 years old. Which inequality describes the ages $a$ that get free entry?
1. a) $a > 10$
2. b) $a \geq 10$
3. c) $a < 10$
4. d) $a \leq 10$
14.
A speed limit sign shows 'Maximum 80 km/h'. A car is traveling at 85 km/h. Is the driver breaking the law? Explain using inequalities.
15.
Put these numbers in order from greatest to least: $2$ , $-6$ , $0$ , $-1$ , $5$
16.
Which inequality correctly represents: 'You must be at least 13 but under 18 to join the youth club'? Use $a$ for age.
1. a) $13 < a < 18$
2. b) $13 < a \leq 18$
3. c) $13 \leq a < 18$
4. d) $13 \leq a \leq 18$