Question

select the checkbox for each correct choice to fill it in. be sure to mark all correct answers. which of the following mathematical statements are true? select all that apply. a. $1\cdot1 = 1$ b. $1 + 1 = 2$ c. $2 - 2 = 1$ d. $1\cdot2 = 2$ e. $1 + 2 = 2$

Explanation:

Step1: Evaluate Option A

Calculate \(1 \cdot 1\). Multiplication of 1 and 1 is \(1\times1 = 1\), so A is true? Wait, no, \(1\cdot1 = 1\), but the statement is \(1\cdot1 = 1\), so that's correct? Wait, no, let's re - evaluate each option:

• Option A: \(1\cdot1 = 1\). The product of 1 and 1 is 1, so this statement is true.
• Option B: \(1 + 1=2\). The sum of 1 and 1 is 2, so this statement is true.
• Option C: \(2 - 2 = 1\). The difference of 2 and 2 is 0, not 1, so this statement is false.
• Option D: \(1\cdot2 = 2\). The product of 1 and 2 is 2, so this statement is true.
• Option E: \(1+2 = 2\). The sum of 1 and 2 is 3, not 2, so this statement is false.

Wait, maybe I made a mistake. Let's re - check:

• Option A: \(1\times1 = 1\), so \(1\cdot1 = 1\) is correct.
• Option B: \(1 + 1=2\), correct.
• Option C: \(2-2 = 0

eq1\), incorrect.

• Option D: \(1\times2 = 2\), correct.
• Option E: \(1 + 2=3

eq2\), incorrect.

But maybe the original problem has a different interpretation. Wait, the options are:

A. \(1\cdot1 = 1\)

B. \(1 + 1=2\)

C. \(2 - 2=1\)

D. \(1\cdot2 = 2\)

E. \(1+2 = 2\)

So the correct ones are A, B, D.

Wait, but let's check again:

• A: \(1\times1 = 1\) (true)
• B: \(1 + 1=2\) (true)
• D: \(1\times2 = 2\) (true)

C: \(2 - 2=0
eq1\) (false)

E: \(1 + 2=3
eq2\) (false)

Answer:

A. \(1\cdot1 = 1\), B. \(1 + 1=2\), D. \(1\cdot2 = 2\)