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.

step-by-step explanation:

answers available in this download

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