KCET2025MathematicsBasics of Mathematics
Consider the following statements : Statement(I) : The set of all solutions of the linear inequalities 3 x+8 17 and 2 x+8 12 are x 3 and x 2 respectively. Statement(II) : The common set of solutions of linear inequalities 3 x+8 17 and 2 x+8 12 is (2,3) . Which of the following is true?
Options
- AStatement (I) is true but statement (II) is false
- BStatement (I) is false but statement (II) is true
- CBoth the statements are true
- DBoth the statements are false
Correct answer
A. Statement (I) is true but statement (II) is false
Step-by-step solution
aligned & 3 x+8 17 3 x 9 x 3 & 2 x+8 12 2 x 4 x 2 aligned Statement I is correct. The common set of solution 2 Statement II is false