Inequalities Special Terms

What type of comparison in math uses the greater-than and less-than signs?

• Functions

• Inequalities

• Equations

• Variables

What is the convention for graphing the boundary line in an inequality when the points exactly on the line are included in the solution set?

• Shade the area below the line

• Shade the area above the line

• Draw a dashed line

• Draw a solid line

When do you need to switch the inequality sign in an algebraic inequality?

• When adding or subtracting positive terms

• When multiplying or dividing by a positive term

• When combining like terms

• When multiplying or dividing by a negative term

What is the final result of solving the inequality -2y + 1 > x + 5 for y?

• y > -x/2 - 2

• y = x/2 - 2

• y < -x/2 - 2

• y = -x/2 - 2

Solve the inequality 5x - 8 ≤ 27.

• x ≥ 7

• x = 27

• x ≤ 7

• x ≤ 5

What is the main step involved in graphing a linear inequality?

• Solving for x

• Picking a test point

• Shading the graph

• Graphing the boundary line

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Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

-4(5x + 3) - 6x > 11 - 3x

• x < -1

• x < -7

• x < 5

• x > 5

Graph 2m - 4 < 12

• Open Circle → 8

• Closed Circle → 8

• Closed Circle $\leftarrow$ 8