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Two-Variable Inequalities - Graphs
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Is ( 1 , 3 ) a solution to 2 𝑥 + 5 𝑦 < 15?
no
Is ( 5 , 0 ) a solution to 𝑥 − 2 𝑦 < 6?
yes
Is ( 0 , 0 ) a solution to 𝑦 < 3 𝑥 − 1?
no
Is ( 0 , − 2 ) a solution to 𝑦 > 2 𝑥 + 1?
no
Is (1, 5) a solution to 𝑦 ≤ 2 𝑥 + 4?
yes
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 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 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
Write the inequality for the graph shown.
x>−4
Write the inequality for the graph shown.
y≤5
Write the inequality for the graph shown.
y<x−3
Write the inequality for the graph shown.
𝑦 ≥ − 2 𝑥 + 4
Write the inequality for the graph shown.
𝑦 < − 𝑥
Write the inequality for the graph shown.
x≥−1
Write the inequality for the graph shown.
y<2
Write the inequality for the graph shown.
y≥3x−2
Write the inequality for the graph shown.
y<−x+3
Write the inequality for the graph shown.
𝑦 ≤ 1/2 𝑥
Write the inequality for the graph shown.
x<5
Write the inequality for the graph shown.
y≥−1
Write the inequality for the graph shown.
y>−2x+3
Write the inequality for the graph shown.
y≤x+2
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