Basic Inequalities

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3

• y>2x-1
  y≤-2x+3

• y<2x-1
  y≥-2x+3

• y≤2x-1
  y>2x+3

Which ordered pair(s) is a solution to the given system?

• (5,0)

• (1,-3)

• (3,3)

• (2,1)

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Maria earns $7.35 an hour at Sonic plus an extra $20 every week for wearing roller skates for her shifts. If she earned a minimum of $277.25 this week, write an inequality to determine h, the number of hours Maria worked this week.

David went to 7-11 and bought bags of hot fries for $2.75 each and he had a coupon for $5.00 off. David spent less than $3.25. Write an inequality to determine b, the number of bags of hot fries that David bought.

• y<139
• y≥55
• y>55
• y≤139

• m > 7

• m ≤ 5

• m < 5

• m > 5

4x - 10 ≤ 22

• x ≤ 8

• x ≥ 8

• x ≤ 3

• x ≥ 3

15 + 7x ≥ 29

• x ≥ 2

• x ≥ -2

• x ≤ 2

• x > 2

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7