Question

What must you do to the first inequality to get to the second inequality? A. N 4 <5;n<20 b. − n 4 <5;n>−20 A. A. Add 4 to each side. B. Add –4 to each side. B. A. Divide each side by 4. B. Divide each side by –4. C. A. Subtract 4 from each side. B. Subtract –4 from each side and reverse the inequality sign. D. A. Multiply each side by 4. B. Multiply each side by –4 and reverse the inequality sign.

Answer 1

A. You have two inequalities:

• 
  `(n)/(4)<5;`
• 
  `n<20.`

If you multiply the first inequality by positive number 4 (multiplying inequality by positive number doesn't change the inequality sign), then you get the inequality

`4\cdot (n)/(4)<4\cdot 5,\\ \\n<20.`

B. You have two inequalities:

• 
  `-(n)/(4)<5;`
• 
  `n>-20.`

If you multiply the first inequality by negative number -4 (multiplying inequality by negative number changes the inequality sign), then you get the inequality

`-4\cdot \left(-(n)/(4)\right)>-4\cdot 5,\\ \\n>-20.`

Answer: option D.