Explanation

If a, b, c ∈ R (real numbers), then:

a < b ⟹ a + c < b + c

This is a fundamental property of inequalities, which states that adding the same value to both sides of an inequality preserves the inequality.

Explanation

Terminating Decimal Definition:

A decimal that ends after a finite number of digits (e.g., 0.5, 0.75).

0.125: Terminates after 3 digits.

Explanation

First, find the LCM of 3 and 5, which is 15.

Now, convert both fractions:

5/3 = 25/15

2/5 = 6/15

Subtract:

25/15 - 6/15 = 19/15

Explanation

Explanation

Explanation

To convert 2/3 hours to minutes, we need to multiply 2/3 by the number of minutes in an hour, which is 60.

So, 2/3 hours = (2/3) × 60 minutes = 2 × 20 minutes = 40 minutes.

Explanation

Integers are whole numbers (positive, negative, or zero) without fractions or decimals.

Examples: ...,−2,−1,0,1,2,...

Explanation

The power set P(A) of a set A with n elements has 2^n elements.

Here, A = {a, b, c, d, e} has 5 elements, so n = 5.

The number of elements in P(A) is 2^5 = 32.

Explanation

Every matrix has an additive inverse, which is the matrix with all elements negated.

Not every matrix has a multiplicative inverse (only square, non-singular ones do).

Explanation