If -3-2 x -1-3- 5- then x lies in the intervalA- -4-8-B- -4-8C- -4-8D- -4-8-

The correct option is A ( 4,8] 32x 13≤5 ⇒ 92x 1≤15 ⇒ 82x≤16 ⇒ 4 x≤8 ...

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

Byju's Answer

Standard XII

Mathematics

Different Types of Intervals in Inequality

If -3<2 x -1/...

Question

If $- 3 < \frac{2 x - 1}{3} \leq 5$ , then $x$ lies in the interval

(- 4, 8]

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

[- 4, 8)

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

(- 4, 8)

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

[- 4, 8]

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

Open in App

Solution

The correct option is A $(- 4, 8]$
$- 3 < \frac{2 x - 1}{3} \leq 5$
$\Rightarrow - 9 < 2 x - 1 \leq 15$
$\Rightarrow - 8 < 2 x \leq 16$
$\Rightarrow - 4 < x \leq 8$

Suggest Corrections

Similar questions

Find all points of discontinuity of $f (x) w h e r e f (x)$ is defined by $f (x) = {\begin{matrix} 2 x + 3, i f x \leq 2 2 x - 3, i f x > 2 \end{matrix}$

Q. f(x)=12x+ 3, if x 22х-3, if x>26.

Q. State if the relations from A to B are functions If A = {

2, 3

} and B = (

2, 3, 4

); then {

(2, 2), (3, 3), (3, 4)

}. Write 1 if yes and 0 if No

Q. If

\sqrt{2} = 1.414, \sqrt{3} = 1.732,

then the value of

\frac{4}{3 \sqrt{3} - 2 \sqrt{2}} + \frac{3}{3 \sqrt{3} + 2 \sqrt{2}}

is 1.063 If true then enter

1

and if false then enter

0

Q. If

\frac{3}{4} x + \frac{5}{3} y = 7

find

x

y = 3

Join BYJU'S Learning Program

Explore more

Different Types of Intervals in Inequality

Standard XII Mathematics

Join BYJU'S Learning Program

If −3<2x−13≤5, then x lies in the interval

The correct option is A (−4,8]−3<2x−13≤5 ⇒−9<2x−1≤15 ⇒−8<2x≤16 ⇒−4<x≤8

If $- 3 < \frac{2 x - 1}{3} \leq 5$ , then $x$ lies in the interval

The correct option is A $(- 4, 8]$
$- 3 < \frac{2 x - 1}{3} \leq 5$
$\Rightarrow - 9 < 2 x - 1 \leq 15$
$\Rightarrow - 8 < 2 x \leq 16$
$\Rightarrow - 4 < x \leq 8$