Presentation top top theme: "An inequality is a mathematics sentence that consists of the complying with symbols:"— Presentation transcript:
2 An inequality is a mathematics sentence that contains the following symbols: .
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, is much less than or same to is higher than or same to is less than is greater than > A systems to an inequality is any number that provides it true. Inequalities have many solutions. Solutions are presented by shading a number line.
3 Graph each inequality equipment on a number line:The open circle method the 1 is not consisted of in the solution. A. X The equipment is all numbers less than 1. The close up door circle method the −2 is had in the solution. B. The equipment is every numbers better than or same to −2.
4 Solve this inequality and also graph the solution. X + 5 To fix an inequality, monitor the same actions you usage to settle an equation. Resolve this inequality and graph the solution. X − 5 − 5 Graph: x The systems is every numbers much less than 2. Check: shot 1, a number less than 2. X 1 + 5 6 This sentence is true. 5 Solve this inequality and also graph the solution.x − − 5 Graph: x −2 The systems is all numbers better than or same to −2. Check: shot −1, a number greater than −2. −1 x − −5 −1 + (−3) −5 − −5 This sentence is true.
5 Solve this inequality and also graph the solution.x − − 5 Graph: x −2 The systems is all numbers better than or same to −2. Check: shot −1, a number greater than −2. −1 x − −5 −1 + (−3) −5 − −5 This sentence is true.
6 Solve this inequalities and graph the solution.Try These: fix these inequalities and also graph the solution. X −2 −1 −1 Graph: x −3 x – 7 > – 5 Graph: + 7 + 7 x > 2
7 Solve these inequalities and graph the solution.3 x ≥ 9 Graph: x ≥ 3 Graph: ( 2 ) . . ( 2 ) x
8 Solve this inequality and graph the solution. 4 n > 16 n > 4 Graph:
9 Solve this inequality and graph the solution.2x − 8 > −10 2x > −2 2 2 x > −1 Graph:
10 Write one inequality for each sentence.In Florida you can vote if you room at the very least 18 years old. Compose an inequality reflecting the period of all voter in Florida. ( let x = the voter’s age) x You need to be much less than 16 year old come play ~ above a details youth baseball team. Write an inequality mirroring the age of the players. ( permit n = the player’ s age) n
11 Write one inequality because that each sentence and solve it.
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Four times a number is much less than 12. 4 n Graph: 4 4 n The sum of a number and also 2 is at least 4. N Graph: −2 −2 n
12 Use an inequality to settle problems.A pair of jeans expenses $25 and a shirt prices $10. You have actually $50 to spend. Write an inequality to find how countless shirts you can buy along with one pair the jeans. ( permit n = the variety of shirts) 10n ≤ 50 −25 −25 10n ≤ 25 10 10 n ≤ 2.5 You deserve to buy 2 shirts.