Question

is the following always, sometimes or never true
2(8x-4)-2x≤14x+12

Answer 1

16x-8-2x<=14x+12
14x-8<=14x+12

Answer 2

-8<=12 will be left after subtracting 14x on both sides

Answer 3

sometimes true

Answer 4

in case of 12>-8 it's true but12=-8 is not true

Answer 5

as we know that 12>-8 then its true

Answer 6

@shaik0124, when would it be *not* true?

Answer 7

12 is not eqqual to -8 then its not true

Answer 8

2(8x - 4) - 2x <= 14x + 12
16x - 8 - 2x <= 14x + 12
14x - 8 <= 14x + 12
0 <=20

I would say always true

sub in numbers and check...
lets say x is -2

14(-2) - 8 <= 14(-2) + 12
-28 - 8 <= -28 + 12
- 36 <= - 16 (true)

now lets say x = 2
14(2) - 8 <= 14(2) + 12
28 - 8 <= 28 + 12
20 <= 40 (true)

now set x = 0
14(0) - 8 <= 14(0) + 12
-8 <= 12 (true)

Answer 9

@shaik0124, but we're checking to see if the left side is less than OR equal to the right side. It can only be one of these. And since \(-8<12\), it satisfies \(-8\le12\). I'd say always true.

Answer 10

I agree

Answer 11

done