What is the interval notation of -6<3x+9

Explanation:

Let's solve for x

-6 < 3x+9

-6-9 < 3x+9-9 ... subtract 9 from both sides

-15 < 3x

-15/3 < 3x/3 ... divide both sides by 3

-5 < x

-5 < x < infinity

The last step is valid because any number is smaller than positive infinity. Infinity is more of a concept than a number. It basically says "the right side of the interval goes on forever"

The compound inequality -5 < x < infinity converts to the interval notation (-5, infinity)

The use of curved parenthesis tell the reader "do not include the endpoint as part of the solution". So -5 is not part of the interval. Since we can't ever reach infinity, we also cannot include it as part of the solution set.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

tangent

step-by-step explanation: