homework review. compound inequalities 5.4 are you a solution?
TRANSCRIPT
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