One-Variable Linear Inequality Problem-Solving

Solve this one- variable inequality.

3x+7<16

• x>3

• x<3

• x<2

• x<9/3

The endpoint of a ray or segment on a number line where an inequality is true.

• boundary point

• boundary line

• solution region

• system of equations

3x+7<16 is an example of what

• one-variable equation

• two-variable equation

• one-variable inequality

• two-variable inequality

the shaded area is the ...

• maximize

• solution region

• intersection

• boundary line

Solve the linear inequality.

• x > -2

• x < -2

• x < 2

• x > 2

Solve the linear inequality.

• y > -14 / 3

• y < -14 / 3

• y > -6

• y < -6

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

The number or numbers that when substituted into an equation or inequality make the equation or inequality true. For example, x = 4 is a ________ to the equation 3x – 2 = 10 because 3x – 2 equals 10 when x = 4.

A ________ to a two-variable equation is sometimes written as an ordered pair (x, y).

• Models

• Distributive property

• Solution

• Let statement

What is a solution set?

• a set of values that do not satisfy a given set of equations or inequalities

• the solution to an inequality

• the set of values that satisfy a given set of equations or inequalities

Solve the inequality. 
|k| - 6 ≤ -1

• k ≤ 5

• k ≤ -5

• k ≤ -5, 5

• -5 ≤ k ≤ 5