Solving Inequalities Variable on Both Sides

8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

When solving inequalities, When do you flip the inequality?

• Never

• Always

• When there are negatives

• When you multiply or divide a negative on both sides

• When you subtract a negative on both sides

True or False: Solving inequalities is like solving equations because inverse operations are done to isolate the variable.

• true

• false

What is the error?

• Adding 1 to both sides

• Distributing the negative sign when multiplying –3(x + 2)

• Subtracting 6 from both sides

• x should equal 5/3

54x + 64 ≥ 49x + 59

• x≥−1

• x≤-1

• x>9

• x<-3

Solve:
11x + 16 < 43 + 2x

• x < 5

• x < 3

• x > 5

• x > 3

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

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x

• 2x + 5 < 3x

• 2x + 5 ≤ 3x

• 2x + 5 ≥ 3x

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10

• 3.33v + 10 > 2v 

• 3.33v < 2v + 10

• 3.33v + 10 < 2v

The inequality shown below represents fees for two different apartments. 500x + 700 < 650x + 200 Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.