Graphing Linear Inequalities

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

• 225x +175y ≤ 21,000

• 225x +175y ≥ 21,000

• 225x +175y < 21,000

• 225x +175y > 21,000

Which graph represents the inequality?

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Which of the following is NOT a solution to the inequality graphed below?

• (4, 3)

• (-6, 0 )

• (0, 0)

• (0, 2)

Which of the following is a solution to the inequality graphed below?

• (3, 2)

• (2, -5)

• (0, 0)

• (-9, 4)

which equation best represents this graph?

• y < 1/2x + 1

• y < 1/2x + 2

• y >1/2x + 2

• y > 2x

Which inequality is graphed on the given coordinate plane?

• y ≤ -x + 1

• y < x + 1

• y ≥ -x + 1

Write the linear inequality that matches the graph.

• y < 3/4x - 4

• y > 4/3x - 4

• y ≤ 4/3x - 4

• y ≥ 3/4x - 4

Which graph represents the inequality?

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Graph 5x - 2y < 10

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