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What is the region represented by x > 0 and y < 0?
If x >0 then x will be positive and y less than 0 means it gets negative value
that means it lies in 4th quadrant.
By solving inequality 3(a  6) < 4 + a, answer will be
Numbers obtained in three throws are 5,3 and 6
Let the number obtained in fourth throw be x
Now, Sum > 20
5 + 3 + 6 + x > 20
14 + x > 20
x > 6(never wins)
Find the solution for the pair of inequations x > 1 and x < 1
x > 1 means x is greater than 1 in this equation the values of x can be 2,3,4,5.............∞
x < 1 means is less than 1 therefore values of x can be 2, 3, 4, 5............ ∞
So no common point for x
Hence there will be no solution
The solution of the inequality 3(2x)≥2(1x) for real x is :
3(2  x) ≥ 2(1  x)
6  3x ≥ 2  2x
4 ≥ x
Find the solution for the pair of solution x > 1 and x > 1
x > 1 and x > 1
Take two points 1,1 on number line
Therefore x > 1
IQ of a person is given by the formula where MA is mental age and CA is the chronological age. If for a group of 12 years old children, find the range of their mental age.
IQ = (MA*100)/CA
and 80 ≤ IQ ≤ 140
80 ≤ (MA*100)/CA ≤ 140
80 ≤ (MA*100)/12 ≤ 140
960 ≤ (MA*100) ≤ 1680
9.6 ≤ MA ≤ 16.8
The graphical representation of x > 2 on number line is
x>2, the value of x is greater than 2. the value goes till infinity.
if X is equal or greater than 2 then we use solid dot, but it is only greater than 2
so the option c is correct.
The graphical representation of x ≤ 3 and x ≥ 3 on number line is
In a game a person wins a TV if in four throws of a dice he get sum greater than 20 .In three throws he got numbers as 5,3,6. What should be his fourth throw so that he wins a TV?
Numbers obtained in three throws are 3, 5 and 6.
Let the number obtained in fourth throw be x.
Now, Sum > 20
=> 5 + 3 + 6 + x > 20
=> 14 + x > 20
=> x > 20 – 14
=> x > 6 (no one wins)
The graphical solution of 1 < x < 2 on number line is
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