Question

select the values of x that can be substituted for x to make the inequality true \\(\frac{3}{5}x > \frac{3}{5}\\) options: 1, \\(\frac{3}{5}\\), 2, \\(\frac{8}{3}\\), \\(\frac{4}{5}\\)

Explanation:

Step1: Simplify the inequality

The inequality is $\frac{3}{4}x>\frac{3}{4}$. Divide both sides by $\frac{3}{4}$ (since $\frac{3}{4}>0$, the inequality sign remains the same). So $x > 1$.

Step2: Check each option

• Option 1: $1$ is not greater than $1$, so it doesn't satisfy.
• Option $\frac{3}{4}$: $\frac{3}{4}<1$, doesn't satisfy.
• Option 2: $2 > 1$, satisfies.
• Option $\frac{8}{3}\approx2.67>1$, satisfies.
• Option $\frac{4}{5}=0.8 < 1$, doesn't satisfy.

Answer:

2, $\frac{8}{3}$ (assuming the options are 1, $\frac{3}{4}$, 2, $\frac{8}{3}$, $\frac{4}{5}$ and we select the ones greater than 1)