Operations on Inequality: Multiplication

Q.

The speed of jogger varies as she runs with points (t, tracking her speed (miles per hours) after minutes of jogging: $(1,5.8),(6,6.3),(8,6.85)$

Find the first and second difference between the three points First differences: Second difference

Q. When you multiply both sides of an inequality by a negative number, the inequality sign gets flipped.

1. True
2. False

Q. We can divide or multiply an equality by an unknown without flipping inequality sign if and only if the unknown is greater than

Q. Which of the following statements, will not change the direction of an inequality?

1. A positive number is multiplied to both sides of an inequality
2. A negative number is multiplied to both sides of an inequality
3. A positive number is divided from both sides of an inequality
4. A negative number is divided from both sides of an inequality

Q. Solve for $x$ : $5-x<6$

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

Q. On multiplying both sides of algebraic inequality $4x\le -4$ by $-4$, we get

1. $-16x\le 16$
2. $-16x\ge 16$
3. $16x\le 16$

Q.

Write the word sentence as an inequality.

A number $z$ times $3$ is at most $-4.8$

Q. Solve for $y$ : $\frac{y}{3}>4$

1. $y>12$
2. $y\ge 12$
3. $y=12$

Q. $x=$ satisifies the algebraic inequality $7-x\le 3$,

1. $3$
2. $-4$
3. $4$
4. $0$

Q. Solve the inequality:
$\frac{5x}{3}+6>16$

1. $x>3$
2. $x>10$
3. $x<4$
4. $x>6$

Q. Is $x=60$ a solution of the inequality $\frac{x}{4}-5>11?$

1. yes
2. no
3. cannot be determined