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Graph on the number line: 鈸 x > 鈭 2 鈸 x < 鈭 3 鈸 x 鈮 鈭1

Short Answer

Expert verified

The required graph will be as shown below:

Step by step solution

01

Step 1. Given information

The inequalities given are:

鈸 x > 鈭 2

鈸 x < 鈭 3

鈸 x 鈮 鈭1

We have to plot the graph of the given inequalities.

02

Part (a) Step 1. Plotting the inequality x > -2.

Now,

x > -2 means all numbers greater than -2, but not including -2.

Therefore, we shade in all the numbers on the number line to the right of -2, then put a hollow circle at x = -2 to show it is not included.

03

Part (b) Step 1. Plotting the inequality x < -3 .

Now,

x < -3 means all numbers less than -3, but not including -3.

Therefore, we shade in all the numbers on the number line to the left of -3 and put a hollow circle at x = -3 to show it is not included.

04

Part (c) Step 1. Plotting the inequality x ≥ −1.

Now,

x 鈮 鈭 1 means all numbers greater than or equal to -1.

Therefore, we shade in all the numbers on the number line to the right of -1 and put a solid circle at x = -1 to show that it is included.

The graph will be as shown below.

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