Solving Systems of Inequalities and Equations

Which system of inequality is shown?

• y > -1/5x - 1/2   and  y ≥ -2x - 4

• y > -1/5x - 1/2  and  y ≤ -2x - 4

• y ≥ -1/5x - 1/2   and  y ≤ -2x - 4

• y < -1/5x - 1/2   and  y ≥ -2x - 4

Which system of inequality is shown?

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

Write the inequalities represented in the picture.

• y > 4/5x - 1 and y ≤ -2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y > -4/5x - 1 and y ≤ 2/3x + 3

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120

• 3x+3y=134
  4x+3y=120

• 4x+3y=134
  3x+3y=120

• 7xy=134
  6xy=120

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (3, -2)

• (3, -4)

• (4, -4)

• (8,4)

• (10,2)

• (7,9)

• (5,9)

Two inequalities are graphed on the same coordinate plane.

Select two solutions to this system of inequalities.

• (6,-2)

• (4,-6)

• (6,-8)

• (-4,0)

• A

• B

• C

• D

Which of the following is a solution to the systems of inequalities?

• (0, 0)

• (-3, 0)

• (2, -5)

• (3, -1)

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)