Question

Solve 7x/3 < 2.

Please help !

Answer 1

Answer:

$\large\boxed{\left\{x\ |\ x<\dfrac{6}{7}\right\}}$

Step-by-step explanation:

$\dfrac{7x}{3}<2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{7x}{3\!\!\!\!\diagup_1}<3\cdot2\\\\7x<6\qquad\text{divide both sides by 7}\\\\\dfrac{7x}{7}<\dfrac{6}{7}\\\\x<\dfrac{6}{7}$

Answer 2

Answer: First Option

{$x|x<\frac{6}{7}$}

Step-by-step explanation:

We have the following inequality $\frac{7}{3}x <2$

To solve the inequality, apply the following steps:

1) Multiply by 3 on both sides of the inequality

$\frac{3 * 7}{3}x <2 * 3\\\\7x <6$

2) Divide by 7 both sides of the inequality

$\frac{7}{7}x <\frac{6}{7}$

$x <\frac{6}{7}$

The solution is all numbers smaller than $\frac{6}{7}$