If "×" stands for addition, "<" stands for subtraction, "+" stands for division, ">" stands for multiplication, "−" stands for equals to, ":" stands for greater than and "=" stands for less than, which of the following equations holds true?
- A18+9=128>2
- B16+9×8<2−14
- C8×12+3−14×2
- D182+6>4÷1218
Solution & Step-by-step Explanation
Let's first substitute the actual mathematical operators into the options based on the given code rules:
×→+
<→−
+→÷
>→×
−→=
:→>
=→<
Let's test Option B:
Given expression: 16+9×8<2−14
Replacing the symbols with their original operations:
16÷9+8−2=14
Let's evaluate the Left-Hand Side (LHS):
LHS=
9
16
+8−2=
9
16
+6=
9
16+54
=
9
70
=14
Let's test Option C:
Given expression: 8×12+3−14×2
Replacing the symbols:
8+12÷3=14+2
Let's evaluate both sides:
LHS=8+(12÷3)=8+4=12
RHS=14+2=16
Since 12
=16, this doesn't hold.
Let's re-verify Option B if the original question text was slightly different or check Option A:
Given expression: 18+9=128>2
Replacing symbols:
18÷9<128×2
2<256
This inequality statement (2<256) is absolutely true!
Therefore, Option A is correct.
×→+
<→−
+→÷
>→×
−→=
:→>
=→<
Let's test Option B:
Given expression: 16+9×8<2−14
Replacing the symbols with their original operations:
16÷9+8−2=14
Let's evaluate the Left-Hand Side (LHS):
LHS=
9
16
+8−2=
9
16
+6=
9
16+54
=
9
70
=14
Let's test Option C:
Given expression: 8×12+3−14×2
Replacing the symbols:
8+12÷3=14+2
Let's evaluate both sides:
LHS=8+(12÷3)=8+4=12
RHS=14+2=16
Since 12
=16, this doesn't hold.
Let's re-verify Option B if the original question text was slightly different or check Option A:
Given expression: 18+9=128>2
Replacing symbols:
18÷9<128×2
2<256
This inequality statement (2<256) is absolutely true!
Therefore, Option A is correct.