Question

HELP!!!! Choose the correct answer. Which expression, when evaluated,

yields a true statement?


a. 18 - 2m < 7 + 3m when m = 2

b. 7x - x/3 > 19 when x = 3

c. 6x - 1 > 4x + 5 when x = 3

d. 2x^2 - 3x + 1 < x - x^2/4 when x = 2

Answer 1

We will check each options and verify it

(a)

`18-2m<7+3m`

we can plug m=2

`18-2* 2<7+3* 2`

`18-4<7+6`

`14<13`

so, this is FALSE

(b)

`7x-(x)/(3) >19`

we can plug x=3

`7* 3-(3)/(3) >19`

`21-1 >19`

`20 >19`

so, this is TRUE

(c)

`6x-1>4x+5`

we can plug x=3

`6* 3-1>4* 3+5`

`18-1>12+5`

`17>17`

so, this is FALSE

(d)

`2x^2-3x+1<x-(x^2)/(4)`

now, we can plug x=2

`2(2)^2-3(2)+1<2-((2)^2)/(4)`

`8-6+1<2-1`

`3<1`

So, this is FALSE