Question

determine which integers from the set S: {-24, 2, 20, 35} will make the inequality 5/6 m-5 < 1/2 m + 3 false

Answer 1

35

Explanation:

`(5)/(6)` m -5 <
`(1)/(2)` m + 3 Subtract 1/2 from both sides. Use the equivalent fraction 3/6

`(5)/(6)` m -
`(3)/(6)` m -5 <
`(3)/(6)` m -
`(3)/(6)`m + 3

`(1)/(3)` m - 5 < 3 (
`(2)/(6)` ÷
`(2)/(2)` makes the equivalent fraction
`(1)/(3)`) Add 5 to both sides

`(1)/(3)` m -5 + 5 < 3 -+ 5

`(1)/(3)` m < 8 Multiple both sides by3

`((3)/(1))`
`(1)/(3)` m < (3)(8) Another name for 3 is
`(3)/(1)`

m < 24 The only number in the set that is greater than 24 is 35