Solving Inequalities Error Analysis

Solving linear inequalities is very similar to solving equations, but there is one minor difference. See if you can figure it out below: Organize these options into true or false.

Groups:

(a) True

,

(b) False

• Multiply both sides by -3.

• Divide both sides by 2.

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Divide both sides by -2.

• Add 3 to both sides.

Match the following - Property of Inequality

• Negative property of inequality

• If a > b,

  then a + c > b + c.

• Addition property of inequality

• If a > b,

  then –a < – b.

• Symmetric property of inequality

• If a > b and b > c,

  then a > c.

• Subtraction property of inequality

• If a > b,

  then a - c > b - c.

• Transitive property of inequality

• If a > b,

  then b < a.

Solve
(n/3) > -20 

• n > 60

• n < -17

• n > -60

• n < -23

4x + 1 > 13

• x > 48

• x < 3

• x > 3.5

• x > 3

Solve the inequality 5x - 8 ≤ 27.

• x ≥ 7

• x = 27

• x ≤ 7

• x ≤ 5

-9x + 7 ≥ 25

• x ≥ -3.6

• x ≤ 2

• x ≥ -2

• x ≤ -2

-1(2x + 4) ≥ 6

• x ≤ -5

• x ≥ -5

• x ≤ -1

• x ≥ -1

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Which number line best represents the solution to the inequality 5w ≥ 30

• A

• B

• C

• D

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D