Answer:
The inequality is
![8x+17\geq 137](https://img.qammunity.org/2020/formulas/mathematics/high-school/gmsb69hgro01bcos11alu1ytk77evfyff6.png)
Explanation:
Given : The isosceles triangle with base and side 4x+3, 2x+7.
And the perimeter is at least 137ft.
To write : An inequality for x
Solution : Let the base
and sides
![s=2x+7](https://img.qammunity.org/2020/formulas/mathematics/high-school/l5og3qdrohe09ymda3tkthrfshakjdjkh1.png)
The perimeter of Isosceles triangle is
![P=2s+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/ople85ctyuf5yl9tojv3y8f97aiu7bejru.png)
where s=side and b=base
Now, we have given that perimeter is at least 137 ft.
Therefore, the inequality form is
![2(2x+7)+(4x+3)\geq 137](https://img.qammunity.org/2020/formulas/mathematics/high-school/cra7w4gnxp2lf5qal4qnyo533t0i1mdimb.png)
![4x+14+4x+3\geq 137](https://img.qammunity.org/2020/formulas/mathematics/high-school/70ypn55oiyrrkzrt7jxrrnvonwvbnx7izz.png)
![8x+17\geq 137](https://img.qammunity.org/2020/formulas/mathematics/high-school/gmsb69hgro01bcos11alu1ytk77evfyff6.png)