## How do you graph an inequality?

How to Graph a Linear Inequality

1. Rearrange the equation so “y” is on the left and everything else on the right.
2. Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3. Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

## Which number line shows the solutions to N <- 3?

The only correct number line is the fourth number line.

## What is inequality on a number line?

Inequalities involve expressions and/ or numbers that are not equal. They commonly use the symbols below to show that one is greater or lesser than another. means Greater Than. < means Less Than. ≥ means Greater Than Or Equal To.

## Which is a correct first step in solving the inequality?

Answer: The first step is distributive property. The solution of the given inequality is x<-0.2.

## How do you write an inequality on a number line?

To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.

## What is the missing step in solving the inequality 5 8x 2x 3?

Add 2x to both sides of the inequality. Subtract 8x from both sides of the inequality.

## Which number line shows the solution to the inequality N?

Answer: The first number line represents the solution to the inequality n > 3. We know that the solution to n>3 is the set of all the values which are strictly greater than 3 i.e. the shaded region in the number line is to the right of ‘ 3 ‘ and goes to infinity with open circle at 3 since the inequality is strict.

## What is the final step in solving the inequality?

Answer Expert Verified The process of solving the inequality will be: -2(5 – 4x) < 6x – 4 8x – 10 < 6x – 4 -6 < -2x x > 3 This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.

## Who would be interested in using inequalities?

Answer Expert Verified People creating a budget may be interested in inequalities.

## How can inequality be eradicated in society?

Introduce land reforms and raise taxation for the wealthy: We should work towards reducing asset inequality through redistributive land reforms but also through inheritance taxes, preventing monopoly of control over water, forests and mineral resources and reducing financial concentration.

## What is the solution set of the inequality?

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

## How do you introduce inequalities to students?

Ask students to list several possible values (i.e., distances) that meet the condition (i.e., more than 3 kilometers). Graph each value given on a number line. Then discuss with students the number of possible values that meet this condition and where they are located on the number line.

## Which is a correct first step in solving 5 2x 8x 3?

Answer Expert Verified The first step on solving 5 – 2x < 8x – 3 would be 5 < 10x – 3. The first step is to add both sides with the term 2x. Hope this answers the question.