How do you graph the inequality #y= x+4# and #y 6x-3#?

Question

How do you graph the inequality #y>= x+4# and #y >6x-3#?

Eva Abramson · Accepted Answer

When it is #>=#, make the line solid and shade in above the line. When it is just #>#, make the line dashed and shade in above the line.

Draw a solid line, #y = x + 4#, by placing a straight edge along the points #(0,4)# and #(-4,0)#:

To obtain a graph of the #x >=x+4#, shade in the area above the line:

Draw a dashed line, #y = 6x -3#, by placing a straight edge along the points #(0,-3)# and #(1/2, 0)#:

Shade in the area above the line:

The magenta region is the region that makes both inequalities be true.

Avery Alexander · Answer

undefined To graph the inequality y ≥ x + 4, you would first draw a solid line representing the boundary line y = x + 4. Then, shade the region above the line since it includes the points where y is greater than or equal to x + 4.

For the inequality y > 6x - 3, you would draw a dashed line representing the boundary line y = 6x - 3. Then, shade the region above the line because it includes the points where y is strictly greater than 6x - 3.

The shaded region for both inequalities represents the solution to the system of inequalities.

Eva Abramson · Answer

undefined To graph the inequality y >= x + 4 and y > 6x - 3, follow these steps:

1. Graph the line y = x + 4. This line represents the boundary for the first inequality. It is a solid line because the inequality includes or equals to y >= x + 4.

2. Graph the line y = 6x - 3. This line represents the boundary for the second inequality. It is a dashed line because the inequality does not include the line itself, but only the region above it.

3. Shade the region above the line y = x + 4, including the line itself, because y >= x + 4.

4. Shade the region above the line y = 6x - 3, but do not include the line itself because the inequality is y > 6x - 3.

The shaded region where both inequalities are satisfied represents the solution to the system of inequalities.

How do you graph the inequality #y&gt;= x+4# and #y &gt;6x-3#?

How do you graph the inequality #y>= x+4# and #y >6x-3#?