Question

5x - 3 < 3x + 1 and x is a natural number then

Answer 1

To solve the inequality \( 5x - 3 < 3x + 1 \):

1. Subtract \( 3x \) from both sides:
\[
5x - 3x - 3 < 1
\]
\[
2x - 3 < 1
\]

2. Add \( 3 \) to both sides:
\[
2x < 4
\]

3. Divide both sides by \( 2 \):
\[
x < 2
\]

Since \( x \) is a natural number, the natural numbers less than 2 are:
\[
x = 1
\]

Thus, the solution is:
\[
x = 1
\]