Question

How would I graph this inequality? a1" title="7x+3y\ \textless \ 6-5x" alt="7x+3y\ \textless \ 6-5x" align="absmiddle" class="latex-formula">

Answer 1

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

$7x+3y$

isolate the variable y

Subtract 7x both sides

$3y$

$3y$

Divide by 3 both sides

$y$

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is $y=-4x+2$

The slope of the dashed line is negative $m=-4$

The y-intercept of the dashed line is the point $(0,2)$

The x-intercept of the dashed line is the point $(0.5,0)$

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure