Question

The sum of two and a number is less than five

Answer 1

Please check the explanation.

Explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

• Let 'n' be the number.

• The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

• 2 + n < 5

Let us solve the algebraic expression.

`2+n<5`

Subtract 2 from both sides

`2+n-2<5-2`

Simplify

`n<3`

Thus, the solution is:

`2+n<5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}`

Please also check the attached solution line graph.