How to graph a two-step inequality

Practice Questions

Advanced Geometry › How to graph a two-step inequality

Questions

8

1

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

$x\leq k$ , where is a positive constant

$0\leq y\leq 12x$

Which of the following expressions, in terms of ___, is equivalent to the area of D?

2

Solve and graph the following inequality:

$2x - 7 \geq 6$

3

Which inequality does this graph represent?

Inequality a

4

What is the area of the shaded region for this system of inequalities:

$0\leq y \leq \frac{1}{2}x+3$ ; $\frac{1}{2}x \leq y \leq 5$

5

Points and lie on a circle. Which of the following could be the equation of that circle?

6

What is the area of the shaded region for the following inequality:

$y\leq -\frac{3}{5}x+3$ ;

$0\leq y \leq \frac{1}{2}x+1$

7

Which of the following lines is perpendicular to the line ?

8

Find the -intercept for the following:

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