State whether the following statements are true or false.
If $a > b,$ then $a + c > b + c$
Where a, b, c and d are real numbers and c $\neq 0$ .

True

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False

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Solution

The correct option is A True
Given statement is true.
According to rule, Adding equals on both sides will not change the inequality.
So, If $a > b,$ then $a + c > b + c$ is true.

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Similar questions

State, Whether the following statements are true of false.

(i) If $a < b, t h e n a - c < b - c$

(ii) If $a > b, t h e n a + c > b + c$

(iii) If $a < b, t h e n a c > b c$

(iv) If $a > b, t h e n \frac{a}{c} < \frac{b}{c}$

(v) If $a - c > b - d; t h e n a + d > b + c$

(vi) If $a < b, a n d c > 0, t h e n a - c > b - c where a, b, c and are real numbers and c \neq 0.$

a < b

c > 0

a - c < b - c

a, b, c

c \neq 0

a - c > b - d

a + d > b + c

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