How do you solve inequalities with negative numbers?

How do you solve inequalities with negative numbers?

Effect of negative numbers on inequalities Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign. This means that if you had a less than sign <, it would become a greater than sign >.

What are the rules of inequalities?

Rules for Solving Inequalities

• Add the same number on both sides.
• From both sides, subtract the same number.
• By the same positive number, multiply both sides.
• By the same positive number, divide both sides.
• Multiply the same negative number on both sides and reverse the sign.

How do you simplify inequalities?

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.

How do you solve inequalities with two variables?

To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary.

What are the 5 inequality symbols?

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

What is an inequality example?

Adding/subtracting the same number on both sides. Example: The inequality x-2>5 has the same solutions as the inequality x > 7. Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 – x.

What are all the inequality symbols?

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.