Write the solution set in interval notation.

First, you need to solve the inequalities.

Now let's write the interval notation for the first one.

The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,

q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.

So the interval notation for the first inequality is [-4, ∞).

Now let's write the interval notation for the second one.

q can be anything less than 4. So the first number would be negative infinity: (-∞

q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)

The interval notation for the second inequality is (-∞, 4).

The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).

Sorry if this was long and confusing. Hope this helped!

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.