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Pythagoras' Theorem 1
Finding the Least Common Multiples
Multiplying and Dividing in Scientific Notation
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Multiplication by 111
Adding Fractions
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Multiplication by 50
Solving Linear Inequalities in One Variable
Simplifying Cube Roots That Contain Integers
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Simple Trinomials as Products of Binomials
Writing Linear Equations in Slope-Intercept Form
Solving Linear Equations
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The Intercepts of a Parabola
Absolute Value Function
Solving Equations
Solving Compound Linear Inequalities
Complex Numbers
Factoring the Difference of Two Squares
Multiplying and Dividing Rational Expressions
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Factoring Out the Opposite of the GCF
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Properties of Exponents
Scientific Notation
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Decimals to Fractions
Solving Quadratic Equations by Completing the Square
Quotient Rule for Exponents
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Independent, Inconsistent, and Dependent Systems of Equations
Slopes
Graphing Lines in the Coordinate Plane
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Zero Power Property of Exponents
The Vertex of a Parabola
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Test for Factorability for Quadratic Trinomials
Trinomial Squares
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Solving Linear Equations Containing Fractions
Multiplying by 125
Exponent Properties
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Quadratic Expressions - Completing Squares
Adding and Subtracting Mixed Numbers with Different Denominators
Solving a Formula for a Given Variable
Factoring Trinomials
Multiplying and Dividing Fractions
Multiplying and Dividing Complex Numbers in Polar Form
Power Equations and their Graphs
Solving Linear Systems of Equations by Substitution
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Laws of Exponents
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Systems of Linear Equations
Properties of Rational Exponents
Power of a Product and Power of a Quotient
Factoring Differences of Perfect Squares
Dividing Fractions
Factoring a Polynomial by Finding the GCF
Graphing Linear Equations
Steps in Factoring
Multiplication Property of Exponents
Solving Systems of Linear Equations in Three Variables
Solving Exponential Equations
Finding the GCF of a Set of Monomials
 
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Solving Compound Linear Inequalities

Example

Solve:   Then, graph the solution on a number line.

Solution
To clear the fractions, multiply each part by the LCD, 6.
Simplify. 3y < ≤ 12 + 3y
Distribute.

Add 2 to each part.

Subtract 3y from each part.

3y <

3y + 2 <

2 <

4y - 2

4y

y

≤ 12 + 3y

≤ 14 + 3y

≤ 14

 

To graph the solution, place an open circle at 2 and a closed circle at 14.

Then, shade the region between the plotted points.

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