Compound Inequalities

Q. Which one of the following graphs represents a compound inequality?
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

1. 
2. 
3. 
4. 

Q. Adding the same number to each side of an inequality changes the direction of the inequality symbol.

1. True
2. False

Q. For NASA's upcoming mission, the age criteria for the astronauts is: "At least 21 years of age but less than 40 years of age". Which of the following is the right compound inequality for the age criteria?

1. $21<AGE<40$
2. $21\le AGE\le 40$
3. $21<AGE\le 40$
4. $21\le AGE<40$

Q. $x<-1$ and $x>-3$ can be read as "$x$ is less than -1 and greater than -3".

1. Yes
2. No

Q. Let a number be $x$ such that $25<x\le 40$. Choose the values of $x$ that satisfying the inequality.

1. $25$
2. $40$
3. $36$
4. $41$
5. $24$
6. $30$
7. $35$
8. $29$
9. $20$
10. $32$

Q. Which of these option(s) are a compound inequality?

1. $x>3$ or $x<5$
2. $x<3$ and $x<1$
3. $x\le 0$ and $x>-1$
4. $x\le 3$

Q. Match the following inequality with the solution.

1. $x\le -2$
2. $x\ge 13$
3. $x\ge 4$
4. $x\ge 14$

Q.

Solve mentally$.$

$80,000-2458$

Q. A pair of inequalities are connected by ____ statement.

1. "and" / "or"
2. "and" / "is"
3. "and" / "a"
4. "a" / "is"

Q. If $a\le b$, then $-a\ge -b$.

1. True
2. False

Q. If $\frac{2x-14}{-3}\le -3x$, then .

1. $x\le -2$
2. $x\ge 2$
3. $x\le 3$