SAT Math: Inequalities 2

1. Which of the following numbers is NOT a solution of the inequality $4x+14 \textgreater 30$

$7$

$9$

$4$

$13$

2. $y \textless -x+a$

$y \textless x+b$

In the xy-plane, if $(0,0)$ is a solution to the system of inequalities above, which of the following relationships between $a$ and $b$ must be true?

$a=-b$

$a=b$

$a \textgreater b$

$b \textgreater a$

3. Let $x$ and $y$ be numbers such that $-2y \textless 2x \textless 2y$ . Which of the following must be true?

I. $|x| \textgreater y$

II. $x \textgreater 0$

III. $x=y$

IV. $|y| \textgreater x$

IV only

II and IV only

III only

I and III only

4. If the system of inequalities $y \textgreater -2$ and $x+y \textgreater 4$ is graphed in the xy-plane above, which quadrant contains no solutions to the system?

Quadrant II

Quadrant III

Quadrant IV

There are solutions in all four quadrants

5. If $\dfrac{a}{5} + 4 \textgreater 7$ , which of the following must be true?

I. $a \textgreater 15$

II. $a \textless \dfrac{11}{5}$

III. $a \textgreater 14$

II only

I and III only

I only

I, II, and III

6. $-2y+7 \textgreater -7+y$

Given the inequality above, which of the following MUST be true?

$y \textgreater 3$

$y \textless 5$

$y \textless \dfrac{14}{3}$

$y \textgreater 1$