Method of Intervals
Trending Questions
x−y>1
Which of the following ordered pairs (x, y) satisfies the system of inequalities above?
- (-1, 3)
- (2, -1)
- (1, 5)
- (-2, -1)
For a point P outside the circle, the maximum distance from the circle is PC + r, where C is the centre of the circle and r is the radius.
True
False
Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than $14 on x student tickets and 1 adult ticket, possible value(s) of x is/are
2
3
4
5
- [1, 5]
- [1, 5]−{3}
- [1, 5)−{3}
- (1, 5)
In an examination, a question paper consists of 12 questions divided into two parts i.e., part I and part II containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?
- (−2, 2)
- [−2, 2]
- (−∞, −2]∪[2, ∞)
- (−∞, −3]∪[3, ∞)
- (1, ∞)
- (−1, ∞)
- [1, ∞)
- [−1, ∞)
Suppose a, b, c are in A.P and a2, b2, c2 are in GP. If a < b < c and a+b+c = 32, then the value of a is
+
-
-
+
A solution is to be kept between 68∘F and 77∘F. What is the range of temperature in degree Celsius (C) if the Celsius /Fahrenheit (F) convension formula is given by F=95C+32?
(2x−1)3≥(3x−2)3≥(3x−2)4−(2−x)5
Let a1, a2, a3, a4 and a5 be such that a1, a2 and a3 are in A.P., a2, a3 and a4 are in G.P., and a3, a4 and a5 are in H.P. Then loge a1, logea3 and loge a5 are in
A.P.
G.P.
none of these
H.P.
- (−∞, 2)∪(3, ∞)
- (2, 3)
- (−∞, 3)
- (−∞, 1)∪(2, 3)
- [−3, 3]
- [−3, 3)
- (3, ∞)
- (−∞, 3)
- [3, 4]
- (3, 4)
- (−∞, 3)∪(4, ∞)
- (−∞, 3]∪[4, ∞)
Solve for x:(x−2)3(x−3)(x−5)2<0
- (−∞, 2)∪(3, ∞)
- (2, 3)
(3, ∞)
(5, ∞)
3(x−2)5≤5(2−x)3
(i) −5 + 12i
(ii) −7 − 24i
(iii) 1 − i
(iv) −8 − 6i
(v) 8 −15i
(vi)
(vii)
(viii) 4i
(ix) −i
If x7, then
(a) x7
(b) x7
(c) x7
(d) x7
which of the following is the graph of y=log12 (x−12) + 12 log2(4x2 − 4x + 1)
- p≥363.3
- p≥445.5
- p≥198
- p≥115.3
Let y = logakx, z = logax. Find the relation between y and z.
z = y/k
z = k2y
z = y/k2
z = yk
Solve for x: x2 - x - 6 > 0
(-2, 3)
[-2, 3]
(-∞, -2] ∪ [3, ∞)
(-∞, -2) ∪ (3, ∞)
Select the solution set of −1<2x+3≤10 from given options
{1, 2, 3}
{2, 3, 4}
{1, 2, 3, 4}
{2, 3, 4, 5}
Solve for x:
3(9x)<8(3x)+3
(−∞, 1)
None of these.
(0, 81)
(−∞, −2)∪(−2, −1)∪(−1, 0)
- x>0
- x>1
- x<−1
Find the value of x if (xlog103)2−(3log10x)−6=0
Solve : x ( 3x - 1) (4x - 16 ) ( x- 5) < 0
x (2 , 5)
x ( - , 2) (5 , )
x ( - , -3) ( 5 , )
x ( 2 , 5)
- (−∞, −32)
- (−12, 0)
- (12, 3)
- (−12, 12)