Question

Let c and d stand for two different rational numbers. If |c|<|d|, then what else must be true?

c is closer to 0 than d is.


c is less than d.


On a number line, c is to the left of d.


The opposite of c is greater than the opposite of d.

Answer 1

GIVEN , |c| < |d|,

THEREFORE," c " IS SMALLER THAN " d ".

THE OPPOSITE OF " c " IS GREATER THAN " d " .
i.e , THE ADDITIVE INVERSES OF BOTH THE NUMBERS WILL CHANGE THE ' LESS THAN , < SIGN TO THE GREATER THAN , > SIGN .

LET'S TAKE AN EXAMPLE ,

LET , c = 3
d = 5

THEREFORE, ACCORDING TO OUR CONDITION , IF WE FIND THE ADDITIVE INVERSE OF 3 AND 5 ,

THEN , WE GET ,

-3 AND , -5

THIS ..RELATES TO OUR ASSUMPTION THAT , -3 IS GREATER THAN -5.

THEREFORE, THE STATEMENT IS TRUE.

Answer 2

Answer:

c is closer to 0 than d is.