Home
Class 12
MATHS
Use quantifiers to convert each of the f...

Use quantifiers to convert each of the following open sentences defined on N, into a true statement :
(i) `x^(2)gt0` (ii) `2x+3lt15` (iii) `x^(2)-3x+2=0`

Text Solution

Verified by Experts

(i) `AAx""inN,x^(2)gt0`. (The square of every natural number is positive.)
(ii) `EEx""inN,` such that `2x+3lt15` is a true statement.
`(x=1inN,x=2inN,x=3inN,x=4inN,x=5inN" satisfy "2x+3lt15)`
(iii) `EEx""inN,` such that `x^(2)-3x+2=0` is a true statement.
`(x=1inN,x=2inN" satisfy "x^(2)-3x+2=0)`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE 2 OR 3 MARKS EACH|24 Videos

  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE 3 MARKS EACH|4 Videos

  • LINEAR PROGRAMMING

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE|8 Videos

  • MATRICES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

Use quantifiers to convert each of the following open sentences defined on N, into a true statement : (i) x^(2)=25 (ii) 3x+1le5 (iii) x^(2)+1le5

Use quantifiers to convert the given open sentence defined on N into a true statement (a) n^(2) ge 1 (b) 3x - 4 lt 9 (c ) Y + 4 gt 6

Find the truth set in case of each of the following open sentences defined on N: (i) x+2lt10 (ii) x+5lt4 (iii) x+3gt2

Using quantifier the open sentence x^2 gt 0 ' defined on N is converted into true statement as

Using quantifier the open sentence x^2 - 4 =32 defined on W is converted into true statement as

Solve the Equation: (i) x^(2)+3x+5=0 (ii) x^(2)-x+2=0 .

Write an anti derivative for each of the following functions using the method of inspection: (i) cos 2x (ii) 3x^2+4x^3 (iii) 1/x , x!=0