Question

Choose the correct description of the graph of the inequality x − 4 greater than or equal to 5x.

Open circle on −1, shading to the left.

Closed circle on −1, shading to the left.

Open circle on −1, shading to the right.

Closed circle on −1, shading to the right.

Answer 1

well we have

\[x-4 \ge 5x\] right?

so add 4 to both sides

so we have x is greater than or equal to 5x + 4

now subtract 5x from both sides

we have -4x is greater than or equal to 4

x less than or equal to -1

so it has a closed circle at -1 and shaded to the left where the lesser values are