Why do we graph inequalities?

THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

There is no good reason to graph inequalities.

We need to practice our art skills.

Solve: − 3 ≤ 2 x − 1 ≤ 5 -3\ ≤\ 2x-1\ ≤\ 5 − 3 ≤ 2 x − 1 ≤ 5

− 1 ≤ x ≤ 3 -1\ ≤\ x\ ≤\ 3 − 1 ≤ x ≤ 3

− 2 ≤ x ≤ 6 -2\ ≤\ x\ ≤\ 6 − 2 ≤ x ≤ 6

− 3 ≤ x ≤ 3 -3\ ≤\ x\ ≤\ 3 − 3 ≤ x ≤ 3

1 ≤ x ≤ 3 1\ ≤\ x\ ≤\ 3 1 ≤ x ≤ 3

Solve: − 4 x + 1 ≤ 21 a n d 5 x + 2 < 22 -4x+1≤21\ and\ 5x+2<22 − 4 x + 1 ≤ 2 1 a n d 5 x + 2 < 2 2

x ≥ − 5 ∩ x < 4 x≥-5\ \cap\ x<4 x ≥ − 5 ∩ x < 4

x > − 5 ∪ x ≤ 4 x>-5\ \cup\ x≤4 x > − 5 ∪ x ≤ 4

x ≥ − 5 ∪ x < 4 x≥-5\ \cup\ x<4 x ≥ − 5 ∪ x < 4

x > − 5 ∩ x ≤ 4 x>-5\ \cap\ x≤4 x > − 5 ∩ x ≤ 4

Solve: 3 x + 2 < − 4 o r 4 x + 4 > 24 3x+2<-4\ or\ 4x+4>24 3 x + 2 < − 4 o r 4 x + 4 > 2 4

x < − 2 ∪ x > 5 x<-2\ \cup\ x>5 x < − 2 ∪ x > 5

x < 2 ∪ x > 5 x<2\ \cup\ x>5 x < 2 ∪ x > 5

x < − 2 ∩ x > 5 x<-2\ \cap\ x>5 x < − 2 ∩ x > 5

x < 2 ∩ x > 5 x<2\ \cap\ x>5 x < 2 ∩ x > 5

Solve: 3 x + 2 < − 7 o r − 4 x + 5 < 1 3x+2<-7\ \ or\ -4x+5<1 3 x + 2 < − 7 o r − 4 x + 5 < 1

x < − 3 ∪ x > 1 x<-3\ \cup\ x>1 x < − 3 ∪ x > 1

x < − 3 ∩ x < 1 x<-3\ \cap\ x<1 x < − 3 ∩ x < 1

x < − 3 ∩ x > 1 x<-3\ \cap\ x>1 x < − 3 ∩ x > 1

x < − 3 ∪ x < 1 x<-3\ \cup\ x<1 x < − 3 ∪ x < 1

Compound Inequalities

Authored by Matt Sahd

Mathematics

7th - 9th Grade

CCSS covered

Used 15+ times

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22 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve and graph:

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write an inequality for Graph 3.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

1 min • 1 pt

0 < x + 7 < 9

-7<x and x<2

-7<x or x<2

-7>x and x>2

-7>x or x>2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What inequality is graphed?

x > 2 and x < 4

x ≥ 2 and x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What inequality is graphed?

x > 2 and x ≤ -3

x > 2 and x < -3

x > 2 or x ≤ -3

x > 2 or x < -3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

x > -5 or x ≤ 4

x ≥ -5 or x < 4

x > -5 and x ≤ 4

x ≥ -5 and x < 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve:
3x + 2 < -4 or 4x + 4 > 24

x < -2 or x > 5

x < 2 or x > 5

x < -2 and x > 5

x < 2 and x > 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

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Compound Inequalities

Solve and graph:

Write an inequality for Graph 3.

0 < x + 7 < 9

What inequality is graphed?

What inequality is graphed?

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

Solve:
3x + 2 < -4 or 4x + 4 > 24

Why do we graph inequalities?

Which graph represents -5≤x≤5?

Which graph represents -2<x<3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Compound Inequalities

Solve and graph:

Write an inequality for Graph 3.

0 < x + 7 < 9

What inequality is graphed?

What inequality is graphed?

Solve: -4x + 1 ≤ 21 and 5x + 2 < 22

Solve: 3x + 2 < -4 or 4x + 4 > 24

Why do we graph inequalities?

Which graph represents -5≤x≤5?

Which graph represents -2<x<3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

Solve:
3x + 2 < -4 or 4x + 4 > 24