Question

Given: 7x/2 < 5. Choose the solution set.
{x | x < 10/7 }
{x | x > 10/7 }
{x | x < 35/2}
{x | x > 35/2}

Answer 1

7x/2 < 5
7x/2 * 2 < 5 * 2
7x < 10
7x71 < 10/7
x < 10/7

Answer 2

We want to get the solution set for the given inequality, the correct option is: {x | x < 10/7}

Solving the inequality.

So we start with the inequality:

$\frac{7x}{2} < 5$

To solve it, we need to isolate x on one side of it, what we can do is multiply both sides by (2/7) so we get:

$\frac{2}{7}* \frac{7x}{2} < 5*\frac{2}{7} \\ \\ x < \frac{5*2}{7} \\ \\ x < \frac{10}{7}$

So the solution set is just:

{x | x < 10/7}

The correct option is the first one.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618