Question

if a = -3/4 and b = 5/6 then which of the following does not lie between a and b ?
-2/5
-7/9
0
-1/2 ​

Answer 1

EXPLANATION.

⇒ a = -3/4  and  b = 5/6.

As we know that,

⇒ a = -3/4 = -0.75.

⇒ b = 5/6 = 0.83333.

Now, the value a and b are in range of,

-0.75 < a & b < 0.833333

Range of a and b ∈ [-.75, 0.8333].

⇒ -2/5 = -0.40

-2/5 = -0.40 lies in the interval of a and b.

⇒ -7/9 = -0.77777

-7/9 Or -0.777 not lies in the interval of a and b.

Because if we make represent it on number line,

their values will shown by,

-0.75,-0.74,,,,,,-0.50,,,,,-0.40,,,,0,,,,,0.83333.

As we move negative to positive then,

in negative sides value will be decreases to 0.

in positive sides value will increases.

⇒ 0 = 0

0 is lies in the interval of a and b.

⇒ -1/2 = -0.50.

-1/2 Or -0.50 it is lies in the interval of a and b.

Option [B] is the correct answer.

Answer 2

${\boxed{\underline{\tt{ \orange{Required \: \: Answer:-}}}}}$

◉ GIVEN:-

• $\bold{a = - \frac{ 3}{4} = - 0.75}$

• $\bold{b= \frac{5}{6} = 0.83}$

◉ TO FIND:-

a and b lies between:-

• $1. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - 2}{5}$

• $2. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - 7}{9}$

• $3. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0$

• $4. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - 1}{2}$

◉ Solution:-

As we know that a = -0.75 and b = 0.83

The Number must lie between a and b.

a ---- number ---- b

-0.75 ---- number ---- 0.83

✿Let's see the first option

$✢ \: \: \bold{ \frac{ - 2}{5} = - 0.4}$

as -0.4 lies between -0.75 and 0.83 according to number line.

so, this in not correct.

✿Let's see the second option

$✢ \bold{\frac{ - 7}{9} = - 0.78}$

As -0.78 does not lie between -0.75 and 0.83.

so, Our answer will be 2nd option..

✿Let's see the third option

$✢ \: \: \bold{0}$

As, 0 lies between -0.75 and 0.83.

so, this in not correct.

✿Let's see the fourth option

$✢ \: \: \bold{\frac{ - 1}{2} = - 0.5}$

As -0.5 lies between -0.75 and 0.83.

so, this is also not correct.

❖OUR ANSWER:-

OPTION 2nd :- -7/9....

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