# How do you graph the inequality #y<2x^2+3x-5#?

##### 1 Answer

May 3, 2018

Please read the explanation.

#### Explanation:

**Given the inequality: **

Make a **table of values: ** **and corresponding values for **

Replace the **inequality sign** with **graph the quadratic equation.**

**Use dashed lines** for this graph as the inequality sign is:

Construct the **graph**:

**Obviously, all the points in table will lie on the graph** as shown in the graph.

In this step, choose a few **test points or coordinates** NOT on the **parabola.**

This is the **required region** that satisfies our **original inequality**.

**Shade** the region as shown:

Hope it helps.