Inequality is an important topic in mathematics. A mathematical inequality represents the relationship between two expressions based on the inequality symbol. It represents the comparative size of two given values with respect to each other. The inequality symbols are:
Not equal to (≠)
Less than (<)
Greater than (>)
Less than equal to (≤) and
Greater than equal to (≥)
Example: To show 6 is unequal to 2, it can be shown as 6 ≠ 2.
Expressions, Equations, And Inequalities
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Example to Solve the Two-Step Inequality Problem
Let’s consider the given example to learn how to solve a 2-step inequality problem.
3a + 5 < 11, where 5 and 11 are constants, ‘a’ is a variable, and 3 is the coefficient.
Step 1: Add or subtract the constants given on both sides of the inequality. In the inequality given in the example, 5 will be subtracted from 11 when it moves from L.H.S to R.H.S.
3a < 11 - 5
3a < 6
Step 2: Divide or multiply the other side of the inequality using the coefficient of variable.
a < 6/3
a < 3
Why Should You Use a Two-Step Inequalities Worksheet for Your Students?
Solving 2-step inequalities problems using a step-by-step method would help your students grasp the concept better.
Two-step inequalities worksheets will help students to visualize the math problems with integers and rational numbers.
The students will see operations in action, as they will follow step-by-step methods of addition, subtraction, multiplication, or division.
This will help them check their mathematical concepts like number systems or inverse operations.
They will also learn to graph the solution set on a number line.