Explanation

"Sum of six and z" means 6 + z.

"Less than four" means the expression is less than 4 → 6 + z < 4.

Explanation

Explanation

The product of two integers of the same sign is always Positive.

Same sign (both positive or both negative) multiplication gives positive result.

Opposite signs give negative product.

Additional information:

The product of two integers of unlike signs is always negative.

Explanation

Given the proportion:

6 : x :: 9 : 12

We can write it as:

6/x = 9/12

Cross-multiplying:

6 × 12 = 9 × x

72 = 9x

x = 72/9

x = 8

Explanation

The multiplication inverse (or reciprocal) of 3/5 is:

5/3

When you multiply a fraction by its reciprocal, the result is 1:

(3/5) × (5/3) = 1

The answer is 5/3.

Explanation

To solve (3/4)³:

(3/4)³ = (3/4) × (3/4) × (3/4)

= (3 × 3 × 3) / (4 × 4 × 4)

= 27 / 64

Explanation

√0.49 = √(49/100)

= √49 / √100

= 7/10

= 0.7

Explanation

Explanation

De Morgan's laws describe relationships between unions and intersections of sets.

They are also fundamental in logic and Boolean algebra.

Explanation

The given equation (a + b) + c = a + (b + c) is the standard form of the Associative Property of Addition.

It states that the grouping of numbers in an addition operation does not change the sum.