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)`