Question

Solve the inequality x - 1 < 7.
(a) Write the solution in set-builder notation. (b) Write the solution in interval notation. (c) Graph the solution set.

Answer 1

Inequalities are used to represent unequal expressions.

• The solution in set builder is: $\{x\ \in \ R, \ x < 8\}$.
• The solution in interval notation is: $(-\infty, 8)$

The inequality is given as:

$x - 1 < 7$

Add 1 to both sides

$x - 1+1 < 7 +1$

$x < 8$

As a set builder, the inequality is:

$\{x\ \in \ R, \ x < 8\}$

Where: R represents real numbers

As an interval notation, the inequality is:

$(-\infty, 8)$

The above interval implies that;

The value of x is less than 8

See attachment for the graph of $x < 8$

Read more about inequalities at:

https://brainly.com/question/11612965