Answer:
See explanation
Step-by-step explanation:
Given the inequality [tex]-7x+3>45[/tex]
A) Add -3 to both sides of inequality:
[tex]-7x+3-3>45-3\\ \\-7x>42[/tex]
Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):
[tex]x<-6[/tex]
B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).