The shop is open.商店营业中。
The shop is closed.商店关门了。
The shop is close.商店（离这儿）很近。
解析：
1.open 作为形容词时，adj.开放的;敞开的;张开的;张着的;畅通的;敞口的;没扣上的;开阔的;对大众开放的;对特定群体开放;可得到;易受损害;人人皆知的;诚恳;思想开明的;未决定的;稀疏的，开业的，营业的
一般情况下，其反义词是closed
Is the museum open on Sundays?
博物馆每星期天都开放吗？
The new store will be open in the spring.
新商店将在春天开业。
I open up the store for the day at around 8.30.
我的店每天早上大约8:30开门。（动词）
Banks closed on Friday afternoon and did not open again until Monday morning.
银行星期五下午关门，直到星期一上午才营业。
His shop is open Monday through Friday, 9am to 6pm.
他的店周一到周五、每天上午9点到下午6点对外营业。
We're open from 8 to 7 every day.
我们每天从早8点至晚7点营业。
2.表示商店、餐馆等公共场所的关门、歇业、停止营业、停办等时，形容词可以用：closed封闭的;(尤指一段时间)停止营业;不开放;闭关自守的;不愿接受新思想的;只限于某些人的
Keep the door closed.
让门关着吧。
Two factories were closed in an attempt to cut costs.
为削减费用，关闭了两家工厂。
The hospital closed at the end of last year.
这所医院去年年底关闭。（动词）
The road was closed to traffic for two days.
这条路已经封路两天了。
A nine-mile stretch of motorway has been closed. 一段九英里长的高速公路已关闭。
That section of the road is still closed.
那段公路依旧封闭。
Please note the office will be closed on Monday. 请注意办事处星期一将关闭。
The shops are closed on Sunday.
商店星期日都不开门。
The museum has been closed for one year.
博物馆已经闭馆一年了。
It's unlikely that the hospital will be closed in the foreseeable future. 这所医院不大可能很快就关闭。
3.
close 也可以作形容词，表示：靠近的，亲密的；(在空间、时间上)接近;几乎(处于某种状态);可能(快要做某事);亲密的;密切的;（家庭关系）亲近的;紧密相关的;细致的;酷似的;实力相差无几的;差一点儿，险些;空隙极小的;严加戒备的;闷热的;吝啬的;闭塞音的
Our new house is close to the school.
我们的新房子离学校很近。
We are close friends.
我们是密友。
The two buildings are close together .
两座建筑物相距很近。
The children are close to each other in age.
这些儿童彼此的年龄很接近。
Their birthdays are very close together .
他们的生日挨得很近。
The children are close to each other in age.
这些儿童彼此的年龄很接近。
He was close to tears.
他几乎快掉眼泪了。
The new library is close to completion.
新图书馆快要竣工了。
She knew she was close to death.
她知道自己已濒临死亡。
We are close to signing the agreement.
我们可能很快要签订协议。
His feeling for her was close to hatred.
他对她的感情近乎仇恨。
The total was close to 20% of the workforce.
总数接近劳动力的20%。
He was close about his past.
他对他的过去守口如瓶。
She's always been very close with her money.
她用钱总是很吝啬。
She is very close to her father.
她和父亲的关系很亲密。
She and her father are very close.
她和她父亲很亲。
She has kept in close contact with the victims' families.
她与受害者的家人一直保持着密切的联系。
We keep in close touch with the police.
我们与警方保持着密切联系。