True or false

1. for a real number a, a + 0 = a.

2. for a real number a, a + (-a) = 1.

3. for a real numbers a and b, | a - b | = | b - a |.

4. for real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).

5. for rational numbers a and b when b ≠ 0, is always a rational number.

What value of x is in the solution set of –5x – 15 > 10 + 20x?

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

The final cost of a sale is determined by multiplying the price on the tag by 75%. which best describes the function that represents the situation?