Question

Fill in the blanks with >, < or = sign.(a) (–3) + (–6) ______ (–3) – (–6)

(b) (–21) – (–10) _____ (–31) + (–11)
answer please​

Answer 1

(a) -9 < 3

(b) -11 > -42

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Answer 2

(a) $(-3)+(-6) < (-3)+(-6)$

(b) $(-21)-(-10) > (-31)+(-11)$

Step-by-step explanation:

(a) The equation is $(-3)+(-6)$___$(-3)-(-6)$.

We have to compare both sides.

LHS= (-3)+(-6)

Using the BODMAS theorem we have to open the brackets first.

=-3-6 ( positive and negative will be negative)

=-9

RHS=(-3)-(-6)

Using the BODMAS theorem we have to open the brackets first.

=-3+6  (two negatives becomes positive)

=3

Here we get that $-9 < 3$

So $(-3)+(-6) < (-3)+(-6)$

(b) The equation is (-21)-(-10) __(-31)+(-11)

We have to compare both sides.

LHS=(-21)-(-10)

Using the BODMAS theorem we have to open the brackets first.

=-21+10 (two negatives becomes positive)

=-11

RHS= (-31)+(-11)

Using the BODMAS theorem we have to open the brackets first.

=-31-11 ( positive and negative will be negative)

=-44

Here we get that $-11 > -44$

So $(-21)-(-10) > (-31)+(-11)$