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Chapter 2: Q2. (page 98)

2. Explain how to determine which region to shade when graphing an inequality.

Short Answer

Expert verified

For determining the shaded region we need to rearrange the equation so ‘y’ is on the left and everything also on write and plot the ‘y’= line (make it solid line for y≤or y≥and a dashed liney<ory>)

Shaded above the line for a ‘greater than’ (y> or y≥) or below the line for a line ‘less than’ (y< or y≤).

Step by step solution

01

Step-1 –Rearrange the equation

Rearrange the equation so ‘y’ is on the left and everything also on write and plot the ‘y’= line (make it solid line for y≤ or y≥ and a dashed line y<ory>)

02

Step-2 –

Shaded above the line for a ‘greater than’ (y> or y≥) or below the line for a line ‘less than’ (y< or y≤).

03

Step-3 –Example for a shaded region

Let y≤2x-1in an inequality then the graph of y=2x-1is

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