Question

The sum of twice a number and 17 is no greater than 41

Answer 1

x ≤ 12

Explanation:

2x + 17 ≤ 41

The less than or equal to symbol, ≤, would be used to model this equation because the sum is no greater than 41.

That means the sum can only be less than or equal to 41.

The word problems read, "the sum of TWICE a number." That is where the '2' came from. In addition, the problem says A NUMBER. The value of the number is unknown, so I used a variable, 'x.'

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Solve:

`2x+17` ≤
`41`

`17 - 17=0`

`41-17=24`

`2x` ≤
`24`

`(2x)/(2)` ≤
`(24)/(2)`

`x` ≤
`12`

Feel free to ask any questions.

Answer 2

x < 12

Explanation:

It is an inequality

`2x+17<41`

`2x<41-17`

`2x<24`

`x<12`

Any number less than 12 meets the proposal

Hope this helps