【Liable】 means legally responsible or likely.

• You will be 【liable】 for any damage caused.
• The court ruled he could not be held personally 【liable】 for his wife’s debts.
• We’re all 【liable】 to make mistakes when we’re tired.
• The bridge is 【liable】 to collapse at any moment.

【Libel】 is damaging someone’s reputation in print or other media.

• He claimed he had been libelled in an article the magazine had published.
• The newspaper which libelled him had already offered compensation.
• If the jury decided there was a 【libel】 , it would have to consider its effect on Miss Smith’s position.
• The film breached the criminal 【libel】 laws.

【Lible】 is not a word.

【Slander】 is an oral statement that damages a person’s reputation.

• He angrily accused the investigators of slandering both him and his family.
• He has been questioned on suspicion of slandering the Prime Minister.
• He was the kind of person who would flatter you to your face, and then 【slander】 you behind your back.