Solve the following linear inequations in R: x-2 5x+8 3 - Vidyadip

Question

Solve the following linear inequations in R:
$\text{x}-2\leq\frac{5\text{x}+8}{3}$

✓

Answer

$\text{x}-2\leq\frac{5\text{x}+8}{3}$
$3(\text{x}-2)\leq5\text{x}+8$
$3\text{x}-6\leq5\text{x}+8$
$-2\text{x}\leq14$
$2\text{x}\geq-14$
$\text{x}\geq-7$
$\therefore$ The solution set is $[-7,\infty)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Linear Inequations→Linear Inequations — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Using binomial theorem write down the expansions of the following:

$(1-2\text{x}+3\text{x}^2)^3$

Find the square roots: 7 - 24i.

If $\cos\text{x}=-\frac{3}{5}$ and x lies in IInd quadrant, find the values of sin 2x and $\sin\frac{\text{x}}{2}$

Prove the following identities:
$\frac{\tan\text{x}}{1-\cot\text{x}}+\frac{\cot\text{x}}{1-\tan\text{x}}=(\sec\text{x}\text{ cosec x}+1)$

A box contains 30 bolts and 40 nuts. Half of the bolts and half of the nuts are rusted. If two items are drawn at random, what is the probability that either both are rusted or both are bolts?

If pth, qth and rth terms of an A.P. and G.P. are both a, b, and c respectively. Show that
$a^{b-c} \cdot b^{c-a} \cdot c^{a-b}=1$

Find the image of point $(2,3)$ w.r.t. line $x-2 y+$ $1 = 0$.

Find the probability that when a hand of 7 cards is drawn from a well shuffled deck of 52 cards, it contains

all Kings
3 Kings
at least 3 Kings

The maximum value of $\sin^2\Big(\frac{2\pi}{3}+\text{x}+\sin^2\Big(\frac{2\pi}{3}-\text{x}\Big)$ is:

$\frac12$
$\frac32$
$\frac14$
$\frac34$

Find the sum of all integers between 100 and 550, wgich are divisible by 9.