Answer: First Option
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Explanation:
We have the following inequality
![(7)/(3)x <2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jraonajo12xt98wrkfk9duv3d1oinwtp5k.png)
To solve the inequality, apply the following steps:
1) Multiply by 3 on both sides of the inequality
![(3 * 7)/(3)x <2 * 3\\\\7x <6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4g5jt45xs1w9s896alom7f0bkmm87etgsh.png)
2) Divide by 7 both sides of the inequality
![(7)/(7)x <(6)/(7)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qkmex13n4p0v20ha05ripf1zkj6dsvjzuo.png)
![x <(6)/(7)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xf6owponph5i6bbcac8tpz1dhapcm837jw.png)
The solution is all numbers smaller than
![(6)/(7)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yf8i4um46dbd37ymf1nz1ztmao78akaeor.png)