Question

Translate and solve 46 less than y is at least negative 184 give your answer in interval notation

Answer 1

We can start by translating the first part of the expression:

"46 less than y" is expressed as follows:

`y-46`

We continue with the second part of the expression:

"is at least 184" This means that y-46 is greater or equal to y-46.

Thus, the complete translated expression is:

`y-46\ge184`

Now we have to solve the inequality.

To solve for y, add 46 to both sides of the inequality:

`\begin{gathered} y-46+46\ge184+46 \\ y\ge230 \end{gathered}`

the value of y is greater or equal to 230.

To express this result in interval notation, we consider that the lowest possible number is 230. Since we can include this number (because we have the symbol ≥) we have to start with a square bracket:

`\lbrack230,`

For the second part of the interval, we consider the highest value possible for y. Since y is greater or equal to 230, the greatest possible value is infinity:

`\lbrack230,\infty)`

Note that any time we use infinity on an interval, we use a normal parenthesis instead of a square bracket.

Answer:

`\lbrack230,\infty)`