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Mathematics TRUE / FALSE

Linear Inequations (In one variable) · ICSE STD 10 (ICSE - English Medium). 10 questions.

Questions

TRUE / FALSE

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10 questions · timed · auto-graded

Question 11 Mark
If a < b, and c > 0, then a – c < b – c
Where a, b, c and d are real numbers and c ≠ 0.
Answer
If a < b ⇒ a – c < b – c (Since, c > 0)
The given statement is false.
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Question 21 Mark
State,Whether the following statements is true or false:
If a – c > b – d, then a + d > b + c
    Answer
    If a – c > b – d ⇒ a + d > b + c
    The given statement is true.
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    Question 31 Mark
    State,Whether the following statements is true or false:
    if $a > b$ then $\frac{a}{c}<\frac{b}{c}$
    Answer
    if $a>b \Rightarrow \frac{a}{c}>\frac{b}{c}$
    The given statement is false.
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    Question 51 Mark
    State,Whether the following statements is true or false:
    If a > b, then a + c > b + c
    Answer
    If a > b, then a + c > b + c

    The given statement is true.

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    Question 61 Mark
    State,Whether the following statements is true or false:
    a < b, then a – c < b – c
    Answer
    a < b ⇒ a – c < b – c

    The given statement is true.

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    Question 71 Mark
    State true or false
    $7>5 \Rightarrow \frac{1}{7}<\frac{1}{5}$
      Answer
      $7>5 \Rightarrow \frac{1}{7}<\frac{1}{5}$
      The given statement is true
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      Question 81 Mark
      State true of false
      $2 x \leq-7 \Rightarrow \frac{2 x}{-4} \geq \frac{-7}{-4}$
      Answer
      $2 x \leq-7 \Rightarrow \frac{2 x}{-4} \geq \frac{-7}{-4}$
      The given statement is true
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      Question 91 Mark
      State true or false
      $-5 x \geq 15 \Rightarrow x \geq-3$
      Answer
      $-5 x \geq 15 \Rightarrow \frac{-15 x}{5} \geq \frac{15}{5} \Rightarrow x \leq-3$
      The given stament is false
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