Question

NO LINKS!! Express the statement as an inequality. Part 5​

Answer 1

`\textsf{(d)} \quad \sf (1)/(5) < c < (1)/(3)`

(e) p ≤ -5

(f) -m ≥ -9

Explanation:

Symbol notation

• < means "less than".
• > means "greater than".
• ≤ means "less than or equal to".
• ≥ means "greater than or equal to".
• = means "equals".

A negative real number is any real number that is less than zero.

A positive real number is any real number that is greater than zero.

Zero is neither positive nor negative.

Part (d)

`\textsf{c is between $(1)/(5)$ and $(1)/(3)$}.`

If c is between 1/5 and 1/3, it is greater than 1/5 and less than 1/3 (as 1/5 < 1/3), but not equal to either number:

• 
  `\sf (1)/(5) < c < (1)/(3)`

Part (e)

If p is not greater than -5, then it is less than or equal to -5:

• p ≤ -5

Part (f)

If the negative of m is not less than -9, then it is greater than or equal to -9:

• -m ≥ -9