If 9-2x - 0-8x-99x -x - 11- then-

Given: nbsp;9.2x + 0.8x≤ 99x x + 11 Simplify the inequality to it's full extent. 10x ≤ 100x + 11 nbsp; [∵ 9.2x + 0.8x =10x, 99x x = 100x] Add 100x on b ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Solving Inequalities Involving Decimals

If 9.2x + 0.8...

Question

If $9.2 x + 0.8 x \leq - 99 x - x + 11$ , then:

x \leq \frac{1}{10}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x \geq \frac{1}{10}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x \leq 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x \geq 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $x \leq \frac{1}{10}$
Given: $9.2 x + 0.8 x \leq - 99 x - x + 11$

Simplify the inequality to it's full extent.
$10 x \leq - 100 x + 11$ [ $∵ 9.2 x + 0.8 x = 10 x, - 99 x - x = - 100 x$ ]

Add $100 x$ on both sides:
$10 x + 100 x \leq - 100 x + 100 x + 11$ [ $∵ 10 x + 100 x = 110 x and - 100 x + 100 x = 0$ ]
$110 x \leq 11$

Shift 110 to the denominator of R.H.S
$x \leq \frac{11}{110}$
$x \leq \frac{1}{10}$

A closed circle at $\frac{1}{10}$ and the red line goes to the left, indicating that $x$ is less than or equal to $\frac{1}{10}$

Hence, (a.) is the correct choice.

Suggest Corrections

Similar questions

Q. If

99 x + 101 y = 400

and

101 x + 99 y = 600

then

x + y

is _____

Q. Solve:

4^{x} - {9.2}^{x} + 2^{3} = 0

If $x = 0. ¯ ¯¯¯¯ ¯ 29$ , then which of the following statements are true?

(i) $100 x = 29. ¯ ¯¯¯¯ ¯ 29$
(ii) $100 x - x = 28. ¯ ¯¯¯¯ ¯ 29$
(iii) $99 x = 29$

If $x = 0. ¯ ¯¯¯¯ ¯ 17$ , then which of the following statements are true?

(i) $100 x = 17. ¯ ¯¯¯¯ ¯ 17$
(ii) $100 x - x = 16. ¯ ¯¯¯¯ ¯ 17$
(iii) $99 x = 17$

Q. Solve:

x^{2} - 99 x + 810 = 0

Join BYJU'S Learning Program

If 9.2x+0.8x≤−99x−x+11, then:

If $9.2 x + 0.8 x \leq - 99 x - x + 11$ , then: