Question

question
solve the inequality and graph the solution on the line provided.
$-5x + 8 > 3$
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( x \), we subtract 8 from both sides of the inequality \( -5x + 8 > 3 \). This gives us \( -5x + 8 - 8 > 3 - 8 \), which simplifies to \( -5x > -5 \).

Step2: Divide by -5 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -5x > -5 \) by -5 gives \( x < 1 \) (since dividing by a negative flips the \( > \) to \( < \)).

Answer:

Inequality Notation: \( x < 1 \)
(For the number line: Plot an open circle at 1 and draw an arrow to the left to represent all values less than 1.)