Answer:
a) {[tex]x:x\:<\:-4[/tex]}
b) The interval notation is [tex](-\infty,-4)[/tex]
c) See graph in attachment
Step-by-step explanation:
a) We want to solve the inequality
[tex]7-7x\:>\:35[/tex]
We group like terms to obtain
[tex]7-35\:>\:7x[/tex]
[tex]\Rightarrow -28\:>\:7x[/tex]
Divide both sides by 7 ;
[tex]\Rightarrow -4\:>\:x[/tex]
or
{[tex]x:x\:<\:-4[/tex]}
b) The interval notation is [tex](-\infty,-4)[/tex]
c) Since the -4 is not part of the solution we use a hollow circle.
See attachment for the graphed solution
