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Two-Variable Inequalities - Graphs

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  • Write the inequality for the graph shown.
    x≥−1
  • Is (1, 5) a solution to 𝑦 ≤ 2 𝑥 + 4?
    yes
  • Write the inequality for the graph shown.
    x>−4
  • Write the inequality for the graph shown.
    𝑦 ≤ 1/2 𝑥
  • Write an inequality to represent the situation. A tank can hold no more than 500 liters. Washing a car uses 50 liters and watering plants uses 25 liters. Let 𝑥 = number of car washes, 𝑦 = times plants are watered.
    50x+25y<=500
  • Write the inequality for the graph shown.
    y≥3x−2
  • Write the inequality that represents this situation. Rita wants to study more than 12 hours this week. She studies math for 𝑥 hours and science for 𝑦 hours
    x+y>12
  • Write the inequality for the graph shown.
    y≤−3x+6
  • Is ( 0 , − 2 ) a solution to 𝑦 > 2 𝑥 + 1?
    no
  • Write the inequality for the graph shown.
    𝑦 < − 𝑥
  • Write the inequality for the graph shown.
    y>−2x+3
  • Write an inequality that represents this situation. Adult tickets cost $15, and child tickets cost $10. A family has no more than $100 to spend.
    15x+10y<=100
  • Write the inequality for the graph shown.
    x<5
  • Is ( 0 , 0 ) a solution to 𝑦 < 3 𝑥 − 1?
    no
  • Write the inequality for the graph shown.
    y<2
  • Write the inequality for the graph shown.
    y<−x+3
  • Is ( 5 , 0 ) a solution to 𝑥 − 2 𝑦 < 6?
    yes
  • Write the inequality for the graph shown.
    y≤5
  • Write the inequality for the graph shown.
    y≥−1
  • Write the inequality for the graph shown.
    y≤x+2
  • Write the inequality for the graph shown.
    𝑦 ≥ − 2 𝑥 + 4
  • Write the inequality for the graph shown.
    y<x−3
  • Is ( 1 , 3 ) a solution to 2 𝑥 + 5 𝑦 < 15?
    no
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