Integers

Ramesh thinks of an integer. He subtracts 12 from it and gets the result as – 6. What was the integer he thought of?

If * is an operation such that for two integers p and q, p * q = p + q – 2, then find:

(a) 6 * 2

(b) (- 2) * (- 3)

(c) (- 2) * (4)

(d) (+ 3) * (- 1)

Determines:

(a) |5| – |- 3|

(b) |5 – 6|+ |-1|

(c) – 7 + |– 3|

(d) |5| + |– 12|