Question

`24\ \textgreater \ 6x-3`

Answer 1

The solution to the inequality is :

↬
`\bf{x < (9)/(2)}`

Solution:

Let's solve
`\bf24\:\textgreater\:6x-3}`.

First, add 3 to each side:

`\sf{24+3\:\textgreater \:6x}`

`\sf{27 > 6x}`

Divide each side by 6

`\sf{27/6 > x}`

`\sf{x < 27/6}`

`\sf{x < 9/2}`

Hence, x < 9/2

Answer 2

x < 4.5

Explanation:

To solve the inequality 24 > 6x - 3, we can follow these steps:

Start by adding 3 to both sides of the inequality to isolate the term with the variable:

24 + 3 > 6x - 3 + 3

This simplifies to:

27 > 6x

Divide both sides of the inequality by 6 to solve for x:

27/6 > 6x/6

Simplifying further:

4.5 > x

Therefore, the solution to the inequality 24 > 6x - 3 is x < 4.5.

Hope this helps!