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Solve Inequalities That Require Simplification. Most inequalities will take more than one step to solve. We follow the same steps we used in the general strategy for solving linear equations, but be sure to pay close attention during multiplication or division.
To solve linear inequalities, isolate the variable on one side of the inequality, keeping track of the sign of the inequality when multiplying or dividing by a negative number, and express the solution as an interval. A linear inequality is a first degree equation with an inequality sign.
Learn the rules and techniques for solving multi-step linear inequalities using the different signs: GREATER THAN, GREATER THAN OR EQUAL TO, LESS THAN, and LESS THAN OR EQUAL TO.
Solving and Graphing. When solving a linear inequality, the solution is typically represented as an ordered pair (x, y) that satisfies the inequality, which is then graphed on a number line. One-Step. Using the above rules, we solve the inequality x + 3 > 10. Step 1: Using the Subtraction Property. x + 3 – 3 > 10 -3. ⇒ x > 7. Step 3 ...
In this section we will start solving inequalities. We will concentrate on solving linear inequalities in this section (both single and double inequalities). We will also introduce interval notation.
Solve compound linear inequalities and express the solutions graphically on a number line and in interval notation. Solve applications involving linear inequalities and interpret the results. Linear Inequalities
Solve compound linear inequalities and express the solutions graphically on a number line and in interval notation. Solve applications involving linear inequalities and interpret the results. Definition of a Linear Inequality
To solve a system of two-variable linear inequalities, we must have at least two inequalities. We will plot the given inequalities on the graph and check for the common shaded region to determine the solution.
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number; Swapping left and right hand sides
A linear inequality is the same as a linear equation Ax+By = C, A x + B y = C, but with the equal sign replaced with an inequality sign. An example is 2x−3y ≤4. 2 x − 3 y ≤ 4. Often a linear inequality is written in “slope-intercept form,” for example y ≤x−2. y ≤ x − 2. An ordered pair is a solution if it makes the ...
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