Inequalities and their solutions.

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Presentation transcript:

Inequalities and their solutions

How are equations and inequalities different? Equations Inequalities 6 = x+7 6 > x+7 12x = 6 12x < 6 18 = x-23 18 > x-23 90+x=17 90+x<17

How are equations and inequalities different? Hannah needs 8 candy bars for each gift basket. She has 15 gift baskets. Hannah needs at least 8 candy bars for each gift basket. She has 15 gift baskets.

Equation OR Inequality? Katie has more money than Alyiah Katie has $5

Inequality signs less than < less than or equal to < greater than > greater than or equal to >

Write this inequality x is less than 15

Write this inequality x is greater than 5

Write this inequality w is less than or equal to 20

Write this inequality p is greater than or equal to 1

Write this inequality 16 is less than or equal to h

Write this inequality 12 is greater than b

Write this inequality 3 is greater than or equal to x

Write this inequality 25 is less than c

Write this inequality 18 is less than three times x

Write this inequality The sum of x and 8 is greater than or equal to 7

Write this inequality 15 is less than or equal to 12 more than x

Write this inequality x is greater than 20

Write this inequality three times z is less than 8

How do you SAY this inequality? x>5

How do you SAY this inequality? x>12

How do you SAY this inequality? 15<x

How do you SAY this inequality?

How do you SAY this inequality? 15>x-6

How do you SAY this inequality? 12>x

How do you SAY this inequality?

How do you SAY this inequality? 1.6<x

Solutions

List some numbers that make this true d>6

List some numbers that make this true

List some numbers that make this true 21>p

List some numbers that make this true

List some numbers that make this true 72< f

Is 10 a solution to this inequality? 15<12-x

Is 2 a solution to this inequality? 7x>5

Is 8 a solution to this inequality? 5x>40

Is 6 a solution to this inequality? 54+x<22

Is 3 a solution to this inequality? 7x<21

Is 15 a solution to this inequality? 10>5+x

Is 7 a solution to this inequality? 42>40+7

Is 5 a solution to this inequality? 27<22-x

18 < 5x Which of these numbers are solutions to this inequality 0, 2, 4, 10

w – 7 > 15 Which of these numbers are solutions to this inequality 8, 22, 20, 15

7x < 26 Which of these numbers are solutions to this inequality 10, 2, 4, 5

1.6 > x - 12 Which of these numbers are solutions to this inequality 12, 20, 14, 13

90 > 8b Which of these numbers are solutions to this inequality 10, 1, 8, 90

Write an inequality You must be at least 48 inches tall to ride The Rocking Roller Coaster at Hollywood Studios

Write an inequality Only children under 12 can eat off the children’s menu

Write an inequality The most people that can fit in a tea cup is 5

Write an inequality Senior citizens are 55 years or older

Write an inequality The speed limit on Interstate 16 is 70 miles per hour

Write an inequality Children aged 5 and under eat free

Write an inequality We need at least $20

Write an inequality The qualifying time to make it to the championship 10k race is 40 minutes