MHF 4U Solving Inequalities

When we multiply or divide an inequality by a negative we ____________.

• keep the inequality symbol the same

• reverse the inequality symbol

• make it equal only

• make it less than only

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥

• <, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥

Pick the correct letter for:

6 > x

• A

• B

• C

• D

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

Solve the inequality:

a-12 > -2(-3+4a)

• a < 3

• a > 2

• a < 4

• a > 6

Solve the inequality:

6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22

Solve the inequality using cases:

0<x²-4x-5

• x<-1 or x>5

• x<-5 or x>1

• -1<x<5

• -5<x<1

Solve the inequality using intervals.

(x-2)(x+3)²(x²+4)≥0

• [2,∞)

• {-3},[2,∞)

• (2,∞)

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