If a -1 and - b -3- what are the possible values of a -3 b -A- 8 and -10B- -8 and 10C- -8 and -10D- 8 and 10

The correct option is B 8 and 10|b|=3 ⇒ b = 3 or b = 3 If b = 3 ⇒ a + 3b = 1 + 3 × 3 = 10 If b = 3 ⇒ a + 3b = 1 + 3 × 3 = 8 Hence, B is the answer ...

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Standard XII

Mathematics

Properties of absolute values

If a =1 and |...

Question

If $a = 1$ and $| b | = 3$ , what are the possible values of (a + 3b)?

8 and - 10

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- 8 and 10

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- 8 and - 10

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8 and 10

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Solution

The correct option is B - 8 and 10
$| b | = 3 \Rightarrow b = 3 o r b = - 3$
If $b = 3 \Rightarrow a + 3 b = 1 + 3 \times 3 = 10$
If $b = - 3 \Rightarrow a + 3 b = 1 + - 3 \times 3 = - 8$
Hence, B is the answer

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If a=1 and |b|=3, what are the possible values of (a + 3b)?

The correct option is B - 8 and 10|b|=3⇒b=3 or b=−3 If b=3⇒a+3b=1+3×3=10 If b=−3⇒a+3b=1+−3×3=−8 Hence, B is the answer

If $a = 1$ and $| b | = 3$ , what are the possible values of (a + 3b)?

The correct option is B - 8 and 10
$| b | = 3 \Rightarrow b = 3 o r b = - 3$
If $b = 3 \Rightarrow a + 3 b = 1 + 3 \times 3 = 10$
If $b = - 3 \Rightarrow a + 3 b = 1 + - 3 \times 3 = - 8$
Hence, B is the answer