Question

What's the intervoluntation and inequality notation​

Answer 1

As an inequality, you'd say $x\ge-11$, because there's a closed circle (meaning we'll have "or equal to") and the shading goes to the right (meaning we also want numbers greater than -11).

In interval notation, you first describe where the interval starts on the left and ends on the right.  This starts at -11 and goes on forever, so we'll say it goes to infinity.  Then you have to indicate if each end is included.  

• The -11 has a solid dot, so -11 is included (again, that's we had "or equal to" before), so we'll put a square bracket on that.  
• Infinity is not a number.  It's an idea.  Since it's not a number, it cannot be included, so it'll get a curved parenthesis.

The interval notation answer is: $\big[-11, \infty\big)$