Table of Contents

- How do you graph inequalities with signs?
- How do I know which side to shade when graphing an inequality?
- How do you graph a less than or equal to inequality?
- How do you graph inequalities on Desmos?
- Which inequality symbol means is greater than?
- How do you graph a linear inequality?
- Why does the inequality sign change when dividing by a negative?

## How do you graph inequalities with signs?

To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

**How do I graph an inequality?**

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.

### How do I know which side to shade when graphing an inequality?

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line. For a vertical line, larger solutions are to the right and smaller solutions are to the left.

**Which inequality is more than?**

Distinguish between less than ( < < <) and less than or equal ( ≤ \le ≤). You can memorize different keywords which indicate the regarding inequality-symbol: More than indicates greater than > > >.

#### How do you graph a less than or equal to inequality?

When graphing a linear inequality on a number line, use an open circle for “less than” or “greater than”, and a closed circle for “less than or equal to” or “greater than or equal to”. The solution set for this problem will be all values that satisfy both -3 < x and x < 4.

**How do you graph greater than?**

There are three steps:

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

## How do you graph inequalities on Desmos?

With inequalities, you can add colored shading to your Desmos graph. Use strict inequalities ( < a n d > ) for dotted lines and non-strict inequalities (≤and≥ ≤ a n d ≥ ) for a solid line. For more intricate graphs, you can also use inequalities with restrictions to shade selected parts of the graph.

**Do you shade up or down for greater than?**

The greater than part means you’ll need to shade the side of the line that has values of x that are more than -2. On an x-axis that is scaled and numbered properly, all the numbers more than -2 are clearly labeled on the right side of the vertical line. That’s how you know which side to shade!

### Which inequality symbol means is greater than?

>

The greater than symbol is >. So, 9>7 is read as ‘9 is greater than 7’. The less than symbol is <. Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

**What is the difference between inequality sign and inequality graph?**

The difference is that, since an inequality shows a set of values greater than or less than, your graph will show more than just a dot on a number line or a line on a coordinate plane. By using algebra and evaluating the inequality sign, you can determine which values are included in the solution of an inequality.

#### How do you graph a linear inequality?

How to Graph a Linear Inequality. First, graph the “equals” line, then shade in the correct area. Rearrange the equation so “y” is on the left and everything else on the right. Plot the ” y= ” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) or below the line for a “less than” ( y< or y≤ ).

**How do you graph the slope intercept form of an inequality?**

Step 1: We need to rewrite the inequality so that it is in slope intercept form. Step 2: Graph the line. Note that the line is solid because the inequality sign is greater than or equal to. Step 3: Shade the solution set. Since y is greater than the expression, shade the side “above” the line.

## Why does the inequality sign change when dividing by a negative?

When you divide or multiply by a negative number, you must change the direction of the inequality sign. This is because of this rule of inequalities: As you can see, x is originally less than y.