Now multiply both sides by 1 5. Here is a progressive series of graphing inequalities worksheets that will help your students solve single variable inequalities and then graph the solutions on a number line.
Number line worksheet integers and number lines sc 1 st math from graphing inequalities on a number line worksheet source.
Inequalities solve the ollowing inequalities and graph the solution on the number lines mathbits worksheet. As you move through the series you ll encounter one step inequalities two step inequalities. Types of angles worksheet. The graph for x 3.
Let me just draw out a number line. The graph for x 2. Solving some simple inequalities suppose we want to solve the inequality x 3 2.
Let s do the number line first. We re asked to represent the inequality y is greater than 5 on a number line and on the coordinate plane. We can solve this by subtracting 3 from both sides.
The graph of a linear inequality in one variable is a number line. This means that any value of x greater than 1 satisﬁes x 3 2. Like most of the problem sets at www imathworksheets we start out simple graphing easy inequalities like x 2.
Solve inequalities worksheet. Complementary and supplementary worksheet. There are properties of inequalities as well as there were properties of equality.
Properties of parallelogram worksheet. Read solving inequalities to see why. Sum of the angles in a triangle is 180 degree worksheet.
Check one point that is obviously in a particular half plane of that line to see if it is in the solution set of the inequality. Worksheet given in this section will be much useful for the students who would like to practice problems on solving inequalities. But because we are multiplying by a negative number the inequalities will change direction.
To graph a linear inequality 1. Complementary and supplementary word problems worksheet. Solve inequalities using the subtraction and addition properties of inequality.
Solving and graphing linear inequalities. Now let s solve it. Inequalities that have the same solution are called equivalent.
X 14 18. X 3 2 x 1 so the solution is x 1. Replace the inequality symbol with an equal sign and graph the resulting line.
To be neat the smaller number should be on the left and the larger on the. Area and perimeter worksheets. First let s subtract 20 from both sides.
Solve the inequality graph the solution on the number line and. Then check your solution and graph it on a number line. Use an open circle for and and a closed circle for and.
Inequalities can be represented on a number line such as that shown in figure 1. 10 5t 2 5. Light blue arrows point in the positive direction and dark blue arrows point in the negative direction.
2 t 2 1. This gives us a convenient method for graphing linear inequalities. Proving triangle congruence worksheet.
Solve inequalities worksheet problems. Graph inequalities on the number line. This is the currently selected item.
Special line segments in. Please note that the following convention is used.