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State 'T' for true and 'F' for false and select the correct option.
(i) Set-squares are useful to draw parallel lines.
(ii) `13.5+4(3)/(8)+9(1)/(8)+8+6(4)/(8)gt12.5+5(1)/(2)+8+14.6`
(iii) Zero is less than every negative number
(iv) 4 more than - 7 is -3.

A

`{:("i","ii","iii","iv"),("T","T","F","T"):}`

B

`{:("i","ii","iii","iv"),("T","F","F","T"):}`

C

`{:("i","ii","iii","iv"),("T","T","F","F"):}`

D

`{:("i","ii","iii","iv"),("F","T","F","T"):}`

Text Solution

AI Generated Solution

The correct Answer is:
Let's solve the question step by step. ### Question: State 'T' for true and 'F' for false and select the correct option. 1. Set-squares are useful to draw parallel lines. 2. \( 13.5 + \frac{4}{8} + \frac{9}{8} + 8 + \frac{6}{8} > 12.5 + \frac{5}{2} + 8 + 14.6 \) 3. Zero is less than every negative number. 4. 4 more than -7 is -3. ### Step-by-Step Solution: **(i) Set-squares are useful to draw parallel lines.** - **Analysis**: Set-squares are indeed tools used in geometry to help draw parallel lines. - **Conclusion**: This statement is **True (T)**. --- **(ii) Evaluate the expression: \( 13.5 + \frac{4}{8} + \frac{9}{8} + 8 + \frac{6}{8} > 12.5 + \frac{5}{2} + 8 + 14.6 \)** 1. **Calculate the Left-Hand Side (LHS)**: - Convert mixed fractions to improper fractions: - \( \frac{4}{8} = 0.5 \) - \( \frac{9}{8} = 1.125 \) - \( \frac{6}{8} = 0.75 \) - Now, add the values: - \( 13.5 + 0.5 + 1.125 + 8 + 0.75 \) - \( = 13.5 + 0.5 = 14 \) - \( 14 + 1.125 = 15.125 \) - \( 15.125 + 8 = 23.125 \) - \( 23.125 + 0.75 = 23.875 \) 2. **Calculate the Right-Hand Side (RHS)**: - Convert mixed fractions: - \( \frac{5}{2} = 2.5 \) - Now, add the values: - \( 12.5 + 2.5 + 8 + 14.6 \) - \( = 12.5 + 2.5 = 15 \) - \( 15 + 8 = 23 \) - \( 23 + 14.6 = 37.6 \) 3. **Compare LHS and RHS**: - \( 23.875 > 37.6 \) is **False**. - **Conclusion**: This statement is **False (F)**. --- **(iii) Zero is less than every negative number.** - **Analysis**: On a number line, zero is at the center, and all negative numbers are to the left of zero. Therefore, zero is greater than all negative numbers. - **Conclusion**: This statement is **False (F)**. --- **(iv) 4 more than -7 is -3.** 1. **Calculate**: - 4 more than -7 means \( -7 + 4 \). - \( -7 + 4 = -3 \). - **Conclusion**: This statement is **True (T)**. --- ### Final Answers: - (i) T - (ii) F - (iii) F - (iv) T ### Correct Option: The correct option is the one that matches: T, F, F, T.

Let's solve the question step by step. ### Question: State 'T' for true and 'F' for false and select the correct option. 1. Set-squares are useful to draw parallel lines. 2. \( 13.5 + \frac{4}{8} + \frac{9}{8} + 8 + \frac{6}{8} > 12.5 + \frac{5}{2} + 8 + 14.6 \) 3. Zero is less than every negative number. ...
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