Suppose we want to choose a value of x at least 5 units away from 14.A) Think about some values of x that meet this constraint. B) Write an inequality that represents all values of x that meet this constraint. Hint. no answer givenC) On the number line below, represent all values of x that meet this constraint. Clear All Draw: Line segments and raysClosed dotOpen dot

Inequalities are used to represent unequal expressions.

Represent the value with x.

A value that is at least 5 from 14 can take any of the following forms:

The inequalities can be combined as:

The values of x are solved as follows:

Rewrite as:

Similarly, we have:

So, we have:

or

This can be combined as:

Some possible values of x are: 5 and 20

Read more about inequalities at:

link

(a) [9, 19]

(b)  

(c)See attachment

Step-by-step explanation:

We want to choose a value of x at least 5 units away from 14.

(a)Now, 14-5=9 and 14+5=19

The possible values of x ranges is in the closed interval [9,19]

(b) Since x is at least 5 units away from 14, we have:

Solving the absolute inequality

(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>