Question

Solve the inequality and graph its solution. \(-10>a-6\)

Short answer

The solution to the inequality is \(a < -4\). Thus, \(a\) is any number less than -4.

Step-by-step solution

Isolate the Variable

To solve for \(a\), start by adding 6 to both sides of the inequality to isolate \(a\). So, \( -10 + 6 > a - 6 + 6 \) simplifies to \( -4 > a. \)

Inequality Direction

The inequality \( -4 > a \) can be rewritten as \( a < -4 \)

Graph the Solution

On a number line, draw a circle at -4 (do not fill in the circle because the inequality does not include -4). Draw a line pointing towards the left from -4 over the lower numbers, as \( a \) is less than -4.