Question

question 1 pts
which number line shows the
solution to the inequality
-2(3x - 1) < 8?
a
-5 -4 -3 -2 -1 0 1 2 3 4 5
b
-5 -4 -3 -2 -1 0 1 2 3 4 5
c
-5 -4 -3 -2 -1 0 1 2 3 4 5
d
-5 -4 -3 -2 -1 0 1 2 3 4 5
b
a
c
d
question 1 pts
solve the absolute value equation -|x - 2| + 3 = 0.

Explanation:

Step1: Expand left side

$-6x + 2 < 8$

Step2: Subtract 2 from both sides

$-6x < 6$

Step3: Divide by -6 (reverse inequality)

$x > -1$

Step4: Match number line

Number line B has an open circle at -1 and arrow right, matching $x > -1$.

Answer:

B