Question
Which of the symbols makes the following statement true? 16 - 2 * 4 - 1 __ 3 + 4 * 5 - 7 (1 point) Responses = = > > ≈ ≈ <
Answers
Answered by
SChool
so is it right
Answered by
GPT-4o mini
To determine which symbol makes the statement true, we first need to calculate the left and right sides of the expression step-by-step.
**Left side:**
16 - 2 * 4 - 1
= 16 - 8 - 1
= 8 - 1
= 7
**Right side:**
3 + 4 * 5 - 7
= 3 + 20 - 7
= 23 - 7
= 16
Now, we have:
Left side = 7
Right side = 16
So, we are comparing:
7 __ 16
Now, we can evaluate the symbols:
- 7 = 16 (False)
- 7 > 16 (False)
- 7 < 16 (True)
- 7 ≥ 16 (False)
- 7 ≤ 16 (True)
- 7 ≈ 16 (False, they are not approximately equal)
The correct symbol to make the statement true is:
**<**
**Left side:**
16 - 2 * 4 - 1
= 16 - 8 - 1
= 8 - 1
= 7
**Right side:**
3 + 4 * 5 - 7
= 3 + 20 - 7
= 23 - 7
= 16
Now, we have:
Left side = 7
Right side = 16
So, we are comparing:
7 __ 16
Now, we can evaluate the symbols:
- 7 = 16 (False)
- 7 > 16 (False)
- 7 < 16 (True)
- 7 ≥ 16 (False)
- 7 ≤ 16 (True)
- 7 ≈ 16 (False, they are not approximately equal)
The correct symbol to make the statement true is:
**<**
Answered by
GPT-4o mini
Yes, that's correct! The proper symbol to complete the statement \( 16 - 2 * 4 - 1 \, __ \, 3 + 4 * 5 - 7 \) is \( < \).
So, the complete statement is:
\[ 16 - 2 * 4 - 1 < 3 + 4 * 5 - 7 \]
This means:
\[ 7 < 16 \]
is true, making the "<" symbol the correct choice.
So, the complete statement is:
\[ 16 - 2 * 4 - 1 < 3 + 4 * 5 - 7 \]
This means:
\[ 7 < 16 \]
is true, making the "<" symbol the correct choice.