MyQuestionIcon

1

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

Definition of Sets

Find P∩ Q a...

Question

Find $P \cap Q$ and represent on the number line
$P = {x : 8 x - 1 > 5 x + 2, x \in N}$ and $Q = {x : 7 x \geq 3 (x + 6), x \in N}$

Open in App

Solution

$\begin{matrix} P = x : 8 x - 1 > 5 x + 2, x \in N a n d Q = x : 7 x > 3 x + 18 \Rightarrow 8 x - 1 > 5 x + 2 \Rightarrow 7 x > 3 x + 18 \Rightarrow 3 x > 3 \Rightarrow 4 x > 18 x > 1 x > \frac{9}{2} ∴ P \cup Q = (\frac{9}{2}, \propto) \end{matrix}$

Suggest Corrections

thumbs-up

0

Similar questions

P = {3 x}^{2} + 7 x + 8, Q = {2 x}^{2} + x - 9

R = - {5 x}^{2} - 8 x + 1

P + Q + R = 0

p (x) = x^{2} - 3 x + 2, q (x) = 3 x + 1

p (x) + q (x)

p (x) + q (x) + r (x) = 0

r (x)

.
(c) What number is

p (1) + q (1) + r (1)

Q. Find polynomials p(x) and q(x) such that

P (x) + q (x) = x^{2} - 4 x + 1 a n d P (x) - q (x) = x^{2} + 5 x - 2

p (x) = a x^{2} + b x

q (x) = l x^{2} + m x + n

p (1) = q (1); p (2) - q (2) = 1

p (3) = q (3) = 4

p (4) - q (4)

m / n

m - (8 * n)

Q. Let the values of x which satisfy the inequalities

x^{2} - 3 x + 2 > 0

x^{2} - 3 x - 4 \leq 0

[m, n) (p, q]

m + n + p + q

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Definition of Sets

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Definition of Sets

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon