Question

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement.

w – 4 > –10

12 ≥ 20x

7y10 ≤ 5.5

–3.25 < x – 9.75

Answer 1

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Answer 2

w – 4 > –10 ---> Yes

12 ≥ 20x ---> No

7y+10 ≤ 5.5 ---> Yes

–3.25 < x – 9.75 ---> Yes

Explanation:

The given inequality is
`w-4\:>\:-10`

To solve this inequality, we need to add 4 to both sides to get:

`w\:>\:-10+4`

Hence the Addition Property of Inequality can be used.

The second inequality is
`12\ge 20x`

To solve this inequality, we divide both sides by 20 to get:

`(12)/(20)\ge x`

Hence Addition Property of Inequality cannot be used

Assuming this inequality is
`7y+10\le5.5`

To solve this inequality, we add -10 to both sides.

Hence Addition Property of Inequality can be used

Also to solve –3.25 < x – 9.75, we add 9.75 to both sides.

Hence, the Addition Property of Inequality can be used.