Consider the first option

From the left-hand side

But 1 is not equal to - 1
Hence, the equation is not true
Consider the second option

From the left-hand side

This implies

Hence, the equation is true
Consider the third option

From the left-hand side

Inserting the value into the inequality

Since -1 is not less than - 2
Hence, the inequality is not true
Consider the fourth option

From the left-hand side

Inserting the value into the inequality
This gives

Since -1 is equal to -1
Hence the inequality is true
Therefore, the correct options are option B and option D