Question

Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solution on the number line (2)

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given the inequality $-7x+3>45$

A) Add -3 to both sides of inequality:

$-7x+3-3>45-3\\ \\-7x>42$

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

$x$

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).