Guidelines

How do you solve one step inequalities?

How do you solve one step inequalities?

One-step inequalities are solved by multiplying both sides of the equation by a number. One-step inequalities are solved by dividing the same number into both sides of the equation. One-step inequalities are solved by multiplying the reciprocal coefficient of the term with a variable to both sides of the equation.

How do you solve an inequality in a story problem?

Word Problem Solving Strategies

  1. Read through the entire problem.
  2. Highlight the important information and key words that you need to solve the problem.
  3. Identify your variables.
  4. Write the equation or inequality.
  5. Solve.
  6. Write your answer in a complete sentence.
  7. Check or justify your answer.

What are the rules of inequality?

When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

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.

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. Next, choose a test point not on the boundary.

How do you solve one step inequality?

One Step Inequalities can be solved by adding once, subtracting once, multiplying once, or dividing once. If you multiply or divide the inequality by a negative number, then the inequality sign must change directions.

How do you solve multi step inequalities?

The general procedure for solving multi-step inequalities is as follows. Clear parenthesis on both sides of the inequality and collect like terms. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign. Multiply and divide by whatever constants are attached to the variable.

How do you calculate an inequality?

Plug your slope and a point into the formula y = mx + B, in which “m” is the slope, (x, y) is a point on the line and “b” is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2.

What is an one step inequality?

One Step Inequalities are inequalities that take only one step to solve . This means that you only have to add, subtract, multiply, or divide one time in order to solve the inequality. Each One Step Inequality will use one of the four basic operations of math and only one.