Question

NO LINKS!! Express the statement as an inequality. Part 6​

Answer 1

(g) r/s≥1/2 (h) 1/f≤14 (i) |x|<2

Explanation:

g) at least means greater than or equal to: ≥

h) at most means less than or equal to: ≤

i) less than means <

Answer 2

`\textsf{(g)} \quad \sf (r)/(s) \geq (1)/(2)`

`\sf (h) \quad (1)/(f) \leq 14`

`\sf (i) \quad |x| < 2`

Explanation:

Symbol notation

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

Part (g)

The quotient is the result of division.

At least means "greater than or equal to".

Therefore, the quotient of r and s is at least 1/2 is:

• 
  `\sf (r)/(s) \geq (1)/(2)`

Part (h)

The reciprocal of a number is 1 divided by the number.

At most means "less than or equal to".

Therefore, the reciprocal of f is at most 14 is:

• 
  `\sf (1)/(f) \leq 14`

Part (i)

The absolute value symbol are bars either side of an expression or a value.

Therefore, the absolute value of x is less than 2 is:

• |x| < 2