Fill In The Blanks[1 Marks ]

Question 11 Mark

If $-\frac{3}{4}\text{x}\leq-3,$ then $\text{x}.......4.$

Answer

If $-\frac{3}{4}\text{x}\leq-3$ then $\text{x}\leq3\text{x}\times\frac{4}{3}\Rightarrow\text{x}\leq4$
Solution:
Hence, the filler is $\geq.$

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Question 21 Mark

If x > -5 then 4x .....-20.

Answer

If x > -5 then 4x > -20
Solution:
Hence, the fillar is (>).

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Question 31 Mark

If $-4\text{x}\geq12,$ then $\text{x}.......-3.$

Answer

If $-4\text{x}\geq12,$ then $\text{x}\leq-3.$
Solution:
$-4\text{x}\geq12\Rightarrow\text{x}\leq-3$
Hence, the filler is $(\leq).$

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Question 41 Mark

If $\frac{2}{\text{x}+2}>0,$ then $\text{x}.......2.$

Answer

If $\frac{2}{\text{x}+2}>0,$ then $\text{x}>-2$
Solution:
Hence, the filler is $\geq.$

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Question 51 Mark

If p > 0 and q < 0 then p - q ......p.

Answer

If p > 0 and q < 0 then p - q > p.
Solution:
Then p - q > p
Hence, the filler is (>).

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Question 61 Mark

If |x + 2| > 5, then x ...... -7 or x ......-3.

Answer

If |x + 2| > 5, then x < -7 or x > -3.
Solution:
x + 2 < -5 or x + 2 > 5
⇒ x < -5 - 2 or x > 5 - 2
⇒ x < -7 or x > 3
So, $\text{x}\in( -7)\cup(3, \infty) $
Hence, the filler is (<) or (>).

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Question 71 Mark

If x > y and z > 0 then -xz ......-yz.

Answer

If x > y and z > 0 then -xz > -yz.
Solution:
xz > yz ⇒ -xz > -yz
Hence, the filler is (>).

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Question 81 Mark

If $-2\text{x}+1\geq9$ then x .....-4.

Answer

If $-2\text{x}+1\geq9$ then x < -4.
Solution:
$-2\text{x}\leq9-1\Rightarrow -2\text{x}\geq8\Rightarrow2\text{x}\leq-8$
$\text{x}<4$
Hence, the fillar is (<).

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Maths Fill In The Blanks[1 Marks ]

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