Question
Solve the inequation $\frac{2 \mathrm{x}+1}{3}+15 \leq 17 ; \mathrm{x} \in \mathrm{W}$.
✓
Answer
$\frac{2 x+1}{3}+15 \leq 17 ; x \in W$
$ \Rightarrow \frac{2 x+1}{3} \leq 17-15=2$
$ \Rightarrow 2 x+1 \leq 6$
$ \Rightarrow 2 x \leq 5$
$ \Rightarrow x \leq \frac{5}{2}=2 \frac{1}{2}$
But $x \in W$
$\therefore \mathrm{x}=0,1,2$
$\therefore$ Solution set is $=\{0,1,2\}$
$ \Rightarrow \frac{2 x+1}{3} \leq 17-15=2$
$ \Rightarrow 2 x+1 \leq 6$
$ \Rightarrow 2 x \leq 5$
$ \Rightarrow x \leq \frac{5}{2}=2 \frac{1}{2}$
But $x \in W$
$\therefore \mathrm{x}=0,1,2$
$\therefore$ Solution set is $=\{0,1,2\}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the square of $x − 2y +1$
→A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. Find the number.
Find the amount and the $C.I$. on $₹ 12,000$ at $10\%$ per annum compounded half$-$yearly.
→Use the information given in the following figure to find : $(i)\ x\ (ii)\ \angle B$ and $\angle C$
→The perimeter of a rectangle is $46 m$ and its length is $15 m$. Find its : $(i)$ breadth$\ (ii)$ area$\ (iii)$ diagonal.
→Draw a line $AB = 6 cm$. Mark a point $P$ anywhere outside the line $AB$. Through point $P$, construct a line parallel to $AB.$
→Find the cube of: $2 x+\frac{1}{x}$
→The units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.
$13$ and $31$ is a strange pair of numbers such that their squares $169$ and $961$ are also mirror images of each other. Find two more such pairs.
→If $\sqrt{784}=28$, find the value of: $\sqrt{0.0784}+\sqrt{0.000784}$
→