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

so let us write out the eq.\[(x-4)\ge5x\] Do you agree?

Answer 2

let us simplify this inequality to make it easier so we will divide both sides by 5 doing this flips our inequality
\[(x-4)/5\le x\]

Answer 3

distribute the 1/5, then combine like terms to get \[(-4/5)\le (4/5)x\]