SAT Math : How to graph a two-step inequality

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : How To Graph A Two Step Inequality

Let D be the region on the (x,y) coordinate plane that contains the solutions to the following inequalities:

\(\displaystyle x\leq k\), where \(\displaystyle k\) is a positive constant

\(\displaystyle 0\leq y\leq 12x\)

Which of the following expressions, in terms of \(\displaystyle k\), is equivalent to the area of D?

Possible Answers:

\(\displaystyle 3k^2\)

\(\displaystyle 8k^2\)

\(\displaystyle 6k^2\)

\(\displaystyle 12k^2\)

\(\displaystyle 4k^2\)

Correct answer:

\(\displaystyle 6k^2\)

Explanation:

  Inequality_region1

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