Consider the first option
[tex]4-5=1[/tex]
From the left-hand side
[tex]4-5=-1[/tex]
But 1 is not equal to - 1
Hence, the equation is not true
Consider the second option
[tex]4-5\ne1[/tex]
From the left-hand side
[tex]4-5=-1[/tex]
This implies
[tex]-1\ne1[/tex]
Hence, the equation is true
Consider the third option
[tex]4-5<-2[/tex]
From the left-hand side
[tex]4-5=-1[/tex]
Inserting the value into the inequality
[tex]-1<-2[/tex]
Since -1 is not less than - 2
Hence, the inequality is not true
Consider the fourth option
[tex]4-5\ge-1[/tex]
From the left-hand side
[tex]4-5=-1[/tex]
Inserting the value into the inequality
This gives
[tex]-1\ge-1[/tex]
Since -1 is equal to -1
Hence the inequality is true
Therefore, the correct options are option B and option D
