Solving Inequalities and Systems of Inequalities

Which inequality is graphed on the given coordinate plane?

•  y > x + 1

• y < x + 1

• y ≥ -x + 1

• y ≤ -x + 1

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

The graph shows which inequality?

• y ≤ 2

• y ≥ 2

• y > 2

• x > 2

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE

• FALSE

When you graph an inequality, you use a solid line when you use which symbols?

• ≤, ≥

• <, >

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >

• ≤, ≥

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300