Q2. - Algebra 2

Question

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

Step-by-Step Solution

Answer

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 $y\le$ or $y\ge$ and a dashed line $y<$or$y>$)

Shaded above the line for a ‘greater than’ ($y>$ or $y\ge$) or below the line for a line ‘less than’ ($y<$ or $y\le$).

Step-1 &ndash;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 $y\le$ or $y\ge$ and a dashed line $y<$or$y>$)

Step-2 &ndash;

Shaded above the line for a ‘greater than’ ($y>$ or $y\ge$) or below the line for a line ‘less than’ ($y<$ or $y\le$).

Step-3 &ndash;Example for a shaded region

Let $y\le 2x-1$ in an inequality then the graph of $y=2x-1$ is