homework review. compound inequalities 5.4 are you a solution?

Homework Review

Homework Review

Homework Review

Compound Inequalities

5.4

Are you a solution?

−7<𝑥<4

Are you a solution?

0<𝑥<4

Are you a solution?

−2≤ 𝑥<4

Are you a solution?

−8<𝑥≤12

Are you a solution?

𝑥<5𝑜𝑟 𝑥>10

Are you a solution?

𝑥≤0𝑜𝑟 𝑥≥3

Are you a solution?

𝑥<−7𝑜𝑟 𝑥 ≥1

Are you a solution?

−2≤ 𝑥+2<4

Are you a solution?

−6 ≤2𝑥<8

Are you a solution?

−15≤ 𝑥−3<5

Are you a solution?

𝑥+1≤0𝑜𝑟 𝑥+1≥3

Are you a solution?

3 𝑥≤−6 𝑜𝑟 3 𝑥≥3

Compound Inequality

• Consists of two separate inequalities joined by AND or OR

• AND – both must be true at the same time!!• This is the INTERSECTION of both graphs

• OR -- one must be true or the the other!!• This is the UNION of both graphs

Write and Graph the Inequality

• All real numbers that are greater than -2 AND less than 3

Solving

• AND inequalities• Solve like you would any inequality, doing the

work in all three sections.

• OR inequalities• Solve each individually

Solve and Graph

2<𝑥+5<9

Solve and Graph

−5≤−𝑥−3≤2

Solve and Graph

𝑥+3<4𝑜𝑟 𝑥−4>5

Solve and Graph

2 𝑥+3<9𝑜𝑟 3 𝑥−6>12

Homework (Quiz Review)

• p. EP6 #1-33 odd Quiz Tommorrow