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M and n are both integers. Select all the statements that are true if m and n are also equal to each other. m - n = n - m OR +m (- n) = m - n

OR 0 = m - n OR m + n = 0

2 Answers

5 votes

#1) m - n = n - m

#2) +m (-n) = m - n

#3) 0 = m - n

hope this HELPS!!!!!!!

User Youjin
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4 votes

Answer:

The true statements are;

(i) m - n = n - m

(ii) +m (-n) = m - n

(iii) 0 = m - n

Explanation:

We are given that m and n are both integers and we have to select all the statements that are true if m and n are also equal to each other.

(i) The given situation is: m - n = n - m

LHS = m - n

= m - m {because m and n are equal}

= 0

RHS = n - m

= n - n {because m and n are equal}

= 0

Hence, the given statement is true because LHS = RHS = 0.

(ii) The given situation is: +m (- n) = m - n

LHS = +m (- n)

= m - n

= m - m {because m and n are equal}

= 0

RHS = m - n

= n - n {because m and n are equal}

= 0

Hence, the given statement is true because LHS = RHS = 0.

(iii) The given situation is: 0 = m - n

LHS = 0

RHS = m - n

= m - m {because m and n are equal}

= 0

Hence, the given statement is true because LHS = RHS = 0.

(iv) The given situation is: m + n = 0

RHS = 0

LHS = m + n

= m + m {because m and n are equal}

= 2m

Hence, the given statement is not true because LHS
\\eq RHS.

User Mess
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