Solve Literal Equations Inequalities

A - B = C

(solve for A)

• A = C - B

• A = C + B

• A - C = B

• B = A - C

Solve the inequality:

3(x – 1) ≥ –9

• x ≥ –2

• x ≥ 2

• x ≤ –2

• x ≤ 2

Graph the solution set of the inequality.

–4n + 1 > –23

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Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200

Solve: -(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2

Solve: 2(4x - 3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

-3x > 21

• x > 24

• x > -7

• x < 24

• x < -7

x + 6 > 10

• x > 16

• x > -4

• x < -4

• x > 4

Does the sign need to flip when solving?
-2x ≥ 22

• Yes

• No