Combined Inequalities

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. Is (0, 0) a solution? *You will be required to graph on the test.

Yasmin has some dimes and some quarters. She has at most 16 coins worth a minimum of $3.10 combined. If Yasmin has 12 quarters, determine the minimum number of dimes that she could have.

Kaylee has x quarters and y dimes. She has a minimum of 18 coins worth no more than $3.60 combined. Solve this system of inequalities graphically. Is (10, 10) a solution? You will be required to graph this question on the test.

Keshawn is working two summer jobs, making $25 per hour tutoring and $10 per hour landscaping. Keshawn must earn at least $100 this week. Write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours landscaping, l, that Keshawn can work in a given week.

Graph and identify a possible solution.
y>-⅔x-3
y<⅔x+1

• (-3,-4)

• (3,-2)

• (4,5)

• (0,-4)

Graph and identify a possible solution.
y≥2x+3
y≥1/3x-2

• (3,3)

• (-1,-1)

• (-3,3)

• (-4,-4)

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Graph the inequalities and identify a possible solution
y≤4
y≥2x-10
y>-x-4

• (8,-6)

• (2,3)

• (-6,1)

• (2,-8)

Solve the system of inequalities by graphing.

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Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2