Step-by-step explanation:
First you must simplify the equation:
[tex]-3x+1<7[/tex]
subtract 1 from both sides:
[tex]-3x<7-1\\7-1 =6\\-3x<6[/tex]
than divide both sides by -3, which switches the inequality sign:
[tex]x>-2[/tex]
This inequality means that all values of x greater than -2 work for the equation. because it is not [tex]\geq[/tex], -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.
