Question

Given 3a) 3b) 3a<4
c)4a<4
d) a>3

Answer 1

The solution to the given inequality is
`\(a > (3)/(4)\)`.

Step-by-step explanation:

The inequality provided is \(3a < 4\). To find the solution, we need to isolate \(a\) by dividing both sides of the inequality by 3:

`\[ a < (4)/(3) \]`

Therefore, the solution to the inequality
`\(3a < 4\) is \(a\) being less than \((4)/(3)\)`. However, the options provided are \
`(3a < 4\) (option a), \(4a < 4\) (option c), and \(a > 3\)` (option d). To express the solution in terms of \(a\) alone, we can simplify the fraction
`\((4)/(3)\) to \((1)/((3)/(4))\)`, which is equivalent to \(a > \frac{3}{4}\).

Therefore, the correct option is
`\(a > (3)/(4)\)`.

In summary, the solution to the given inequality is
`\(a > (3)/(4)\)`, and this is obtained by analyzing the inequality and expressing the answer in a simplified form that aligns with the given options.