Inequalities

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Solving by Adding, Subtracting, Multiplying and Dividing
Pgs. 64 - 65
 = is a symbol that means equal.
 This symbol indicates an equation.
 The information on each side of the = balance or
have the same value.

5+3=8
 An inequality states that the values are not equal.
 The symbols > and < indicate inequality.

8>5
or
3 < 12
Sometimes the values in an inequality might
also be equal.
≥ means greater than or equal to;
≤ means less than or equal to.
 A tank holds 15 gallons of gas. How much gas is in
the tank?
 You don’t know this answer without measuring,
however you know the amount must be less than or
equal to 15 gallons.
 Gas in the tank ≤ 15 gallons.
 X ≤ 15
 Sometimes you can use the text in an item to determine when to use the
less than or equal to or greater than or equal to symbols.
 “no more than” and “at most” indicate that ≤ should be used.
 “at least” indicates that ≥ should be used.
 Tim wants to run no more than 5 miles can be represented by x ≤ 5 miles.
 Shauna wants to work at least 4 hours can be represented by x ≥ 4 hours.
 Write ≥ or ≤ on the line to complete the inequality.
1. In 1 year, Lana wants to save at least $500. Lana wants her
savings to be __________
$500.
≥
2. Jordan takes $20 to the mall. Using cash only, Jordan will spend
≤
__________
$20.
3. Luis wants to bike at least 20 miles today. Luis wants to bike
≥
__________
20 miles.
4. Maria wants her plant to grow to at most 12 inches tall. Maria
≤
wants her plant to grow __________
12 inches tall.
5. Trudi plans to study no more than 2 hours.
≤
6.
There are at least 32 students that want to
go to the museum.
≥
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