the sum of two and a number is less than five

Answer :

Answer:

Please check the explanation.

Step-by-step 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.

[tex]2+n<5[/tex]

Subtract 2 from both sides

[tex]2+n-2<5-2[/tex]

Simplify

[tex]n<3[/tex]

Thus, the solution is:

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

Please also check the attached solution line graph.

View image ABSOR201