Question

Solve the inequality 7-7x > 35. ​(a) Write the solution in​ set-builder notation. ​(b) Write the solution in interval notation. ​(c) Graph the solution set.

Answer 1

Answer:

a) {$x:x\:$}

b) The interval notation is $(-\infty,-4)$

c) See graph in attachment

Step-by-step explanation:

a) We want to solve the inequality

$7-7x\:>\:35$

We group like terms to obtain

$7-35\:>\:7x$

$\Rightarrow -28\:>\:7x$

Divide both sides by 7 ;

$\Rightarrow -4\:>\:x$

or

{$x:x\:$}

b) The interval notation is $(-\infty,-4)$

c) Since the -4 is not part of the solution we use a hollow circle.

See attachment for the graphed solution