Question
Solve the inequation, write the solution set and represent it on the number line.
$\frac{-x}{3} \leq \frac{x}{2}-1 \frac{1}{3}<\frac{1}{6} ; x \in R$
$\frac{-x}{3} \leq \frac{x}{2}-1 \frac{1}{3}<\frac{1}{6} ; x \in R$
✓
Answer
Self
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
An aeroplane travelled a distiance of 400 km at an average speed of $x km / h$. On the return journey the speed was increased by $40 km / h$. Write down an expression for the time taken for:
(a) the onward journey
(b) the return journey
If the return journey took 30 minutes less than the onward journey write an equation in $x$ and find the value of $x$.
→(a) the onward journey
(b) the return journey
If the return journey took 30 minutes less than the onward journey write an equation in $x$ and find the value of $x$.
Car A travels x km for every litre of petrol, while car $B$ travels $(x + 5)$ km for every litre of petrol.
If car A use $4$ litre of petrol more than car $B$ in covering the $400 km$, write down and equation in x and solve it to determine the number of litre of petrol used by car $B$ for the journey.
→If car A use $4$ litre of petrol more than car $B$ in covering the $400 km$, write down and equation in x and solve it to determine the number of litre of petrol used by car $B$ for the journey.
The diameter of a right circular cylinder is $12 m$ and the slant height is $10 m.$ Find its curved surface area and the total surface area .
→The weight of 60 boys are given in the following distribution table
| Weight (kg) | 37 | 38 | 39 | 40 | 41 |
| No.of boys | 10 | 14 | 18 | 12 | 6 |
Find
(1) median
(2) lower quartile
(3)Upper quartile
(4) Interquatile range
If the midpoints of the sides ofa triangle are $(-2, 3), (4, -3), (4, 5),$ find its vertices.
→PT is a tangent to the circle at T. If ∠ ABC = 70° and ∠ ACB = 50° ; calculate : ∠ APT
The following figure shows a circle with PR as its diameter.
If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.
If PQ = 7 cm and QR = 3RS = 6 cm, find the perimeter of the cyclic quadrilateral PQRS.
Draw a circle of radius 6 cm. Take a point P, at a distance of 8 cm from its centre. From P, draw two tangents to the circle, which are inclined to each other at an angle of 45°. Measure the length of each tangent.
Find the solution set of the following inequalities and draw the graph of their solutions sets : $\frac{3}{|x-2|} > 5$.
→Given $\frac{x^3+12 x}{6 x^2+8}=\frac{y^3+27 y}{9 y^2+27}$ using componendo and dividendo, find $x : y$
→