Question

What is the inequality -3x + 1 < 7 look like on a number line.

Answer 1

Explanation:

First you must simplify the equation:

`-3x+1<7`

subtract 1 from both sides:

`-3x<7-1\\7-1 =6\\-3x<6`

than divide both sides by -3, which switches the inequality sign:

`x>-2`

This inequality means that all values of x greater than -2 work for the equation. because it is not
`\geq`, -2 is not included, so there will be a hollow circle there. than the inequality will have a line from that dot to the right so that all values of x that work for the inequality are on that line.