How To Do Inequalities

Do inequalities with help from an experienced math professional in this free video clip. 6 x2 11 a.

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Doing inequalities will require you to work closely with a few different concepts like ranges.

How to do inequalities. For dividing or multiplying both sides by negative numbers flip the direction of the inequality sign. If the inequality that you are solving contains one variable then you will represent your answer on a number line. Solving inequalities When we add or subtract the same number on both sides of the truth of the inequality doesnt change.

This means that our solutions will in most cases be inequalities themselves. If the math sentence is true once you substitute 00 then that means that 00 is a solution and you shade the half plane that contains 00. The process to solve inequalities is the same as the process to solve equations which uses inverse operations to keep the equation or inequality.

But when we solve inequalities we try to find interval s such as the ones marked 0. 9 2x 17 and 7 - 4x -9 b. For 7 2 x 5 we subtract 5 from each side to get 2 2 x.

Give both inequality and interval notation forms of the solution. Solve each compound inequality for x and graph the solution on a number line. Give an example of a compound inequality separated by or that has a solution of all real number.

Substitute 00 into the original inequality. Dont forget that if you multiply or divide by a negative number you MUST flip the sign of the inequality. Dividing by a negative means switch the sign.

Take the example from a and change the or to an and Explain why the solution set is no longer all real numbers. Solving inequalities is the same as solving equations. Solving inequalities is very like solving equations.

This holds true for all numbers. If the circle is open then that means that the answer is less than or greater than this number BUT NOT equal. 2m3 5m1 12 2 m 3 5 m 1 12 21 x5 32x1 2 1 x 5 3 2 x 1 Show All Solutions Hide All Solutions Show Discussion.

When solving equations we try to find points such as the ones marked 0. Step by step guide to solve one-step inequalities. There are only 2 things you need to know 1 If you multiply or divide by a negative number you must switch the sign.

Notice as well that unlike the previous example these will be solutions to the inequality since. We do most of the same things. Thats one of the big differences between solving equalities and solving inequalities.

-7x 21 -7 -7 x -3 2 You will graph your solutions. Similar to equations first isolate the variable by using the inverse operation. You will begin by representing your answer on the number line with a closed circle or an open circle.

Divide each side by 2 and we get. Then solve the inequality by performing the order of operations in reverse. X y x y x z y z x z y z x z y z x z y z Example x 3 9 x 3 3 9 3 x 6 It is a little bit trickier when it comes to division and multiplication.

So the polynomial will be zero at x 2 x 2 and x 3 x 3. 2 Graph on the number line. See how to turn a word problem into an inequality.

Example 2 1 Solve each inequality. Example 1 Solving the following inequalities. X 2 5 x 6 0 x 3 x 2 0 x 2 5 x 6 0 x 3 x 2 0.

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