Different Types of Inequalities and their Interpretation

Q. If $3<4$, then multiplying by a positive unknown $a$ will change the sign of the inequality.

1. False
2. True

Q. To get a driving license in the United States, a person need to be at least 16 years old. If $x$ is the age of a person, then write the previous statement as an inequality.

1. $x\ge 16$
2. $x\le 16$
3. $x>16$
4. $x=16$

Q. The inequality $2x\le 10$ is equivalent to

1. $2x+5\le 15$
2. $2x\le 15$
3. $2x-5\le 5$
4. $2x+2\le 5$
5. $2x+9\le 18$
6. $2x+6\le 4$
7. $2x+1\le 11$
8. $2x-10\le 0$
9. $2x-15\le -5$
10. $2x+10\le 20$

Q. Sam always writes more than 400 words but less than 750 words for an essay. If $x$ is the number of words written on any particular day, then .

1. $400\le x\le 750$
2. $400\le x<750$
3. $400<x<750$

Q. The inequality $2x\le -10$ is the same as $x\le -5$.

1. Yes
2. No

Q. $x>5$ and $x<10$ can be written as $5<x<10$.

1. True
2. False

Q.

Fill in the blanks using sign $>,<\text{or}=$

$\text{XXV \_\_\_\_}\text{IX}$

Q. The notation $-6\le x$ represents that the number $x$ is

1. less than or equal to $-6$
2. greater than $-6$
3. less than $-6$
4. greater than or equal to $-6$

Q. If $x>5$, then the correct inequality according to the given diagram is .

1. $x-2>3$
2. $x-3>3$
3. $x+1>3$

Q. The inequality $x>y$ can also be written as

1. $y>x$
2. $x=y$
3. $y<x$
4. $x\ge y$

Q. A job vacancy at a local law firm wants applicants who are atleast 24 yrs old but not more than 30 years. If $x$ is the age of an applicant, then .

1. $24\le x\le 30$
2. $24\le x<30$
3. $24<x<30$

Q.

Solve the inequality. Graph the solution.

$t–4\le -14$

Q. There is a closed carton of eggs in Emma's refrigerator. The carton can hold 21 eggs. If $x$ is the number of eggs, then write this situation as an inequality.

1. $x\ge 21$
2. $x\le 21$
3. $x<21$
4. $x>21$

Q. Match the following inequalities with their solution sets.

1. $x=\{4,5,6,7\}$
2. $x=\{5,6,7\}$
3. $x=\{4,5,6\}$
4. $x=\{5,6\}$

Q.

Solve the inequality. Graph the solution.

$-8\le z+6.4$

Q. If the value of number $z$ is atleast $10$, but not more than $15$, then .

1. $10\le z\le 15$
2. $10<z<15$
3. $10\le z<15$