How do you solve an inequality equation?

To solve an inequality use the following steps:Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.Step 2 Simplify by combining like terms on each side of the inequality.Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

How do you write an inequality from a word problem?

Word Problem Solving StrategiesRead through the entire problem.Highlight the important information and key words that you need to solve the problem.Identify your variables.Write the equation or inequality.Solve.Write your answer in a complete sentence.Check or justify your answer.

What is inequality in math?

Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

How do you simplify an inequality?

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 write an inequality 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.

What is an inequality sentence?

Another type of sentence used in algebra is called an inequality. An inequality is used when we don’t know exactly what an expression is equal to. Instead of an equals sign, we use one of these symbols: > greater than.

What makes an inequality true?

Just like with equations, the solution to an inequality is a value that makes the inequality true. You may add any positive or negative number to both sides of an inequality. You may multiply or divide both sides of an inequality by any positive number.

How do you tell if a point is a solution of an inequality?

Substitute the x and y values of your point into the inequality. If the statement is true, that point is part of the solution. If the statement is false the point is not in the solution.

How many solutions does an inequality have?

Like systems of equations, system of inequalities can have zero, one, or infinite solutions. If the set of solutions includes any shaded area, then there are indeed an infinite number of solutions.

What are the four types of inequalities?

There are five systems or types of social inequality: wealth inequality, treatment and responsibility inequality, political inequality, life inequality, and membership inequality.

What are the 5 inequality symbols?

What the five symbols mean:≠ = not equal to.> = greater than.< = less than.≥ = greater than or equal to.≤ = less than or equal to.