To solve the given inequality [tex]\(4x < 6\)[/tex], follow these steps:
Step 1: Write down the inequality:
[tex]\[4x < 6\][/tex]
Step 2: Isolate the variable [tex]\(x\)[/tex] by dividing both sides of the inequality by 4:
[tex]\[x < \frac{6}{4}\][/tex]
Step 3: Simplify the fraction on the right-hand side:
[tex]\[x < \frac{6}{4} = \frac{3}{2}\][/tex]
Therefore, the solution to the inequality [tex]\(4x < 6\)[/tex] is:
[tex]\[x < \frac{3}{2}\][/tex]
Thus, the correct answer is:
(D) [tex]\(x < \frac{3}{2}\)[/tex]
Hence, the inequality simplifies to [tex]\(x < 1.5\)[/tex] which is equivalent to [tex]\(x < \frac{3}{2}\)[/tex].
