Question

solve the linear inequality for k. graph your answer in the number line. then write the solution in inequality notation.
-4(k - 2) > -20
show your work here
hint: to add infinity (∞), type \infinity\

Explanation:

Step1: Distribute -4

$-4k + 8> - 20$

Step2: Subtract 8 from both sides

$-4k+8 - 8>-20 - 8$
$-4k>-28$

Step3: Divide both sides by -4 and reverse the inequality sign

$k < 7$

Answer:

$k < 7$
On the number - line, we have an open - circle at 7 and the line extends to the left of 7.