Answer: 4.
- A 4
- B 5
- C Infinitely many
- D 0
Correct answer: A. 4
Explanation: Solve: 5x-3<3x+7 ⟹ 5x-3x<7+3 ⟹ 2x<10 ⟹ x<5. Natural numbers less than 5: {1, 2, 3, 4}. Count = 4. (x=0 excluded as 0 is not a natural number in NCERT convention.) Answer: 4 positive integer solutions
One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.
Concept context
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.