Question

question
solve the inequality and graph the solution on the line provided.
25 - 4x > -7
answer attempt 1 out of 5
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line
submit answer

Explanation:

Step1: Subtract 25 from both sides

To isolate the term with \( x \), we subtract 25 from both sides of the inequality \( 25 - 4x > -7 \). This gives us \( 25 - 25 - 4x > -7 - 25 \), which simplifies to \( -4x > -32 \).

Step2: Divide by -4 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \( -4x > -32 \) by -4 gives \( x < \frac{-32}{-4} \), which simplifies to \( x < 8 \).

Answer:

Inequality Notation: \( x < 8 \)
For the number line: Place an open circle at 8 (since \( x \) is not equal to 8) and draw an arrow to the left (indicating all numbers less than 8).