Question

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?

7 < h < 9

7 > h > 9

h < 7 or h > 9

h > 7 or h < 9

Answer 1

To avoid heavy traffic, Antonio must work less than 7 hours OR more than 9 hours. Mathematically, that means h < 7 OR h > 9. Hence, the answer is C : h < 7 or h > 9.

Answer 2

`h<7` or
`h>9`

Explanation:

Antonio can avoid traffic if he works for LESS THAN 7 HOURS or GREATER THAN 9 HOURS.

Is there any COMMON point in those 2 statements? Is there any number that satisfy BOTH LESS THAN 7 and GREATER THAN 9?

No! So inequality can't be written as one, rather as 2 statements with an "or" in between.

So we can write LESS THAN 7 as
`h<7` , and

GREATER THAN 9 as
`h>9`

Hence, third choice is correct:

`h<7` or
`h>9`