写出命题“若X=1或X=6则(X-1)(X-6)=0的逆命题,否命题和逆否命题,并判断真假.
问题描述:
写出命题“若X=1或X=6则(X-1)(X-6)=0的逆命题,否命题和逆否命题,并判断真假.
答
逆命题:若(X-1)(X-6)=0则若X=1或X=6(真)
否命题:若X≠1且X≠6则(X-1)(X-6)≠0 (真)
逆否命题:若(X-1)(X-6)≠0则若X≠1且X≠6(真)