System of Nonlinear Inequalities

A solution to the system of inequalities:           y < -1/2x + 3 and y < (x+1)² is : 

• (0, 6) 

• (-1, 4)

• (2, 1)

• (3, 4)

Tags

CCSS.HSA.REI.C.7

All are solutions to the given inequalities           { y <-1/2(x-1)²+5 and -5 <y - x   } EXCEPT:

• (0, 0)

• (10, 1)

• (-2, -3)

• (1, 2)

Tags

CCSS.HSA.REI.C.7

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

Tags

CCSS.HSA.REI.C.7

Identify the solutions to the system of quadratic inequalities. Select all that apply.

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

Tags

CCSS.8.EE.C.8B

Lisa gives child(x) and adult(y) haircuts in her salon. She charges $10 for a child and $40 for an adult haircut. Her goal is to make at least $1000 per week and work no more than 40 hours. The shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. Which combination represents her maximum profit?

• 10 adult haircuts and 60 child haircuts

• 20 adult haircuts and 40 child haircuts

• no adult haircuts and 80 child haircuts

• 40 adult haircuts and no child haircuts

Determine the system of inequalities. Select two inequalities.

Tags

CCSS.HSA.REI.D.12

It requires that each variables to be greater than or equal to zero

• maximization

• minimization

• inequality

• non-negativity constraints

Tags

CCSS.8.EE.C.8B

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No