Question

Which is the graph of linear inequality 6x + 2y > –10?..​

Answer 1

Answer:

Step-by-step explanation:

$6x+2y>-10\qquad\text{subtract 6x from both sides}\\\\2y>-6x-10\qquad\text{divide both sides by 2}\\\\y>-3x-5$

Change the inequality symbol to the symbol of equation.

$y=-3x-5$

Choice any two values of x and calculate the values of y:

for x = 0

$y=-3(0)-5=0-5=-5\to(0,\ -5)$

for x = -2

$y=-3(-2)-5=6-5=1\to(-2,\ 1)$

Draw the line passing through the given points.

If is < or >, then plot the dot line.

If is ≤ or ≥, then plot the solid line.

We have the sign of an inequality ">". Therefore plot a dot line.

Now shading.

If is < or ≤, then shading to the left.

If is > or ≥, then shading to the right.

We have the sign of an inequality ">'. Therefore shading to the right.