Question

Number 3.Solve the inequalities and represent the possible values of the variable on a number line.

Answer 1

We are given the following inequality:

$1<2+k$

We will solve for the variable "k". To do that we will subtract 2 from both sides of the inequality:

$1-2<2-2+k$

Solving the operations:

[tex]-1The solutions are the values of "k" that are greater than -1. In a number line this can be represented as:

Since the solution does not involve an equal sign this means that -1 is not included in the solution. We represent that using a hollowed circle on -1.