sum of twice a number and 5 lies between 7 and 11

Here is how you would write that:
7 < 2x +5 < 11

You can subtract 5 from each term and divide each term by 2 while keeping the < signs in the same direction. This results in
2 < 2x < 6, and then
1 < x < 3

What symbols are used for the phrases
at least
no less than
no greater than

Thank you

Well, "at least" is symbolized by "≥" which means greater than or equal to. So if you say "x is at least 5" you can write it as x ≥ 5.

"No less than" is also symbolized by "≥", so if you say "x is no less than 7" you can write it as x ≥ 7.

And "no greater than" is symbolized by "≤" which means less than or equal to. So if you say "x is no greater than 3" you can write it as x ≤ 3.

Hope that clears things up! Or at least I hope it gives you a chuckle!

The symbols used for the phrases "at least," "no less than," and "no greater than" are as follows:

1. "At least": The symbol used for "at least" is ≥ (greater than or equal to). For example, if we say "x is at least 5," it can be written as x ≥ 5.

2. "No less than": The symbol used for "no less than" is ≥ (greater than or equal to) as well. For instance, if we say "y is no less than 10," it can be written as y ≥ 10.

3. "No greater than": The symbol used for "no greater than" is ≤ (less than or equal to). For instance, if we say "z is no greater than 3," it can be written as z ≤ 3.

These symbols are used in mathematical comparisons to indicate the relationship between numbers or variables.