Unit 6 Inequalities

Solve the inequality:  -3x + 4 > -2

• x < -1

• x > -1

• x < 2

• x > 2

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500

• 500-25w ≥ 200

• 500+25w ≤ 200

• 200-25w ≤ 500

-12x > 36

• x > -3

• x > 48

• x < -3

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?

• 9.99+1.29n≥50

• 9.99+1.29n≤50

• 9.99−1.29n≥50

• 9.99−1.29n≤50

The answer to this inequality 5 − 2t < -4 is t > 9/2. Why does the inequality change from the less than symbol to the greater than symbol.

• I will divide by a negative 2.

• I will multiply by a negative 2.

• I will add negative 2.

• I don't know; I am negative.

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, x, plus a $10 fee. Amanda paid less than $27. Which inequality represents this situation and what quantities are true for x?

• 2x+10≥27, where x≥8.5

• 2x+10<27, where x<8.5

• 2x+10≤27, where x≤8.5

• 2x+10>27, where x>8.5

Erin can read at least 80 words per minute. Write an inequality to show this situation. 

• x > 80

• x < 80

• x ≥ 80

• x ≤ 80

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

• <, >

• ≤, ≥ 

• <,≥

• ≤,>

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

• ≤, ≥ 

• <, >