Answer:
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1. The Western Wall</h2>
Sacred to - Jews and Muslims
The Western Wall is thought by Jews to be the closest structure to the original temple that King Solomon built for God and so is closest to God's dwelling place in the temple. They therefore pray towards it which gives it it's alternative name of the Wailing Wall.
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2. King David's Tomb</h2>
Sacred to - Jews, Christians and Muslims
King David's tomb was thought to be the final resting place of King David and even though it has been shown not to be, Jews still use it as a place of prayer as it is close to Jerusalem's old city.
For Christians, the tomb houses the site of the Last Supper where Jesus and his disciples broke bread for the last time.
Muslims also hold it in great regard as they consider King David to have been a prophet.
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3. The Temple Mount</h2>
Sacred to - Jews, Christians and Muslims
The Jews hold the Temple Mount in great regard as it was the place that both the first and the second temples were built.
The site is considered the third holiest site in Islam as it is believed that Muhammad ascended to heaven from here to speak to Allah.
For Christians it is the site where Jesus taught his disciples as well as where Jesus prayed every day and accused religious leaders of desecrating by selling goods in.
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4. Church of the Holy Sepulchre</h2>
Sacred to - Christians
The Church of the Holy Sepulchre is meant to mark the location where Jesus was crucified, and then buried and then resurrected from. As such, it is considered one of the holiest sites in Christianity and draws Christian pilgrims from the furthest reaches of the Earth.