# Linear Inequalities Worksheets

What are linear Inequalities? It is now time to switch up a little and move forward with the mathematical concepts as we start to learn about new things. By now, you would have learnt the concept of linear equalities and other graphical equations, but soon you are going to face linear inequalities too. So, let us find out what are these. Linear Inequalities are equations that involve a linear function. They contain one of the symbols of inequalities and represent the data which is not equal in graph form. In simpler terms, linear inequalities are like linear equations, not having an equal sign, instead have one of these signs, <, >, ≥ , or ≤ and even ≠ . The graph of a linear inequality is a straight-line graph. Inequalities that have the same solution are called equivalent. The solution of a linear inequality in two variables A and B are represented in an ordered pair just like (x, y) which gives or makes the inequality statement true when the value is substituted into the inequality.

• ### Basic Lesson

Demonstrates general rules for solving Linear Inequalities. Example: Solve following linear inequalities. 2x + 3 ≥ x – 2 Subtract 3 from both sides: 2x + 3 ≥ x – 2 Subtract x from both sides: 2x ≥ x – 5 x ≥ -5

• ### Intermediate Lesson

Explores how to approach complex Linear Inequalities. Example: Solve and graph the solution set of following: y > –2. Open circle at -2, since y cannot equal -2, and arrow to the right, because we want value larger than -2.

• ### Independent Practice 1

Solve following 20 linear inequalities. The answers can be found below.

• ### Independent Practice 2

Features another 20 Linear Inequalities problems.

• ### Homework Worksheet

Linear Inequalities problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Linear Inequalities problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Thoughts On Algebra

"Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world."
-- Alfred North Whitehead.