Question

which inequality is greater y≤2 or -y≥-2

Answer 1

 

$\displaystyle\bf\\\text{\bf Inequality~ 1)}\\\\\boxed{y\leq2}\\\\\text{\bf Inequality~ 2)}\\\\-y\geq -2~~\Big|~\times(-1)~~~\text{The sense of inequality will change}\\\\\boxed{y\leq2}\\\\\implies~~\text{\bf Inequality 1) is equivalent to Inequality 2)}\\\\\implies~~~~~\boxed{\bf y\leq2~~\Longleftrightarrow~~-y\geq -2}$