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.

What is an inequality example?

Students learn that when solving an inequality, such as -3x is less than 12, the goal is the same as when solving an equation: to get the variable by itself on one side. For example, to solve -3x is less than 12, divide both sides by -3, to get x is greater than -4. …

What is the quadratic equation of 12 and 4?

The standard quadratic equation using the given set of solutions {12,4} is y=x2−16x+48 y = x 2 – 16 x + 48 .

How do you solve an inequality in math?

We can often solve inequalities by adding (or subtracting) a number from both sides (just as in Introduction to Algebra ), like this: If we subtract 3 from both sides, we get: In other words, x can be any value less than 4. What did we do?

Is there a way to reverse the inequality?

Another thing we do is multiply or divide both sides by a value (just as in Algebra – Multiplying ). But we need to be a bit more careful (as you will see). If we divide both sides by 3 we get: we must reverse the inequality. Why? Well, just look at the number line! but from −3 to −7 is a decrease.

How to find the direction of the inequality?

These things do not affect the direction of the inequality: Add (or subtract) a number from both sides Multiply (or divide) both sides by a positive number Simplify a side

How are inequalities expressed on the number line?

Use the inequality symbol to represent the relative positions of two numbers on the number line. Graph inequalities on the number line. We have already discussed the set of rational numbers as those that can be expressed as a ratio of two integers.