Inequalities represented graphically Quiz

1. A solid line $y=2x-1$ is drawn and the region above it is required. Which inequality is this?

• A. $y>2x-1$
• B. $y<2x-1$
• C. $y\ge2x-1$
• D. $y\le2x-1$

2. Which is a suitable test point for the line $y=3x$?

• A. $(0,0)$
• B. $(1,3)$
• C. $(2,6)$
• D. $(1,0)$

3. Using the graph of $y=x^2-2x-3=(x-3)(x+1)$, solve $x^2-2x-3>0$.

• A. $x<-1$ or $x>3$
• B. $-1<x<3$
• C. $x>3$ only
• D. $-3<x<1$

4. Which inequality describes the points strictly below the curve $y=x^2-4$?

• A. $y>x^2-4$
• B. $y<x^2-4$
• C. $y\le x^2-4$
• D. $y\ge x^2-4$

5. The curves $y=x^2$ and $y=x+2$ meet where $x=-1$ and $x=2$. For which $x$ is $x^2<x+2$?

• A. $x<-1$ or $x>2$
• B. $x<2$
• C. $-1<x<2$
• D. $x>-1$