If x < y, then all of the following are true except 1. -x < -y 2. 2x < 2y 3. x + 2 < y + 2 4. x/2 < y/2

Given statement is "If x < y, then all of the following are true except ."

so that means we have to find the statement which is not equivalent to x<y.

1. -x < -y

divide both side by -1

x > y  {inequality sign flips when multiplying or dividing by negative number}

Clearly x<y and x>y are not same.

Hence first choice is wrong.

2. 2x < 2y

divide both side by 2

x < y  {inequality sign flips only when multiplying or dividing by negative number}

Clearly x<y and x<y are same.

Hence this choice is correct.

3. x + 2 < y + 2

subtract 2 from both sides.

x < y  {inequality sign flips only when multiplying or dividing by negative number}

Clearly x<y and x<y are same.

Hence this choice is correct.

4. x/2 < y/2

multiply both sides by 2.

x < y  {inequality sign flips only when multiplying or dividing by negative number}

Clearly x<y and x<y are same.

Hence this choice is correct.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet