Question

Solve for x. Graph the solution.   
minusfive fourths
xless than or equalsnegative 10
.
.
.
Question content area right
Part 1
The solution is xgreater than or equals
  
enter your response here.

Answer 1

To solve the inequality \(-\frac{5}{4}x \leq -10\), we can first isolate \(x\).

1. **Multiply both sides by \(-\frac{4}{5}\)**: Remember, when you multiply or divide by a negative number, you need to flip the inequality sign.

\[
x \geq -10 \times -\frac{4}{5}
\]

2. **Calculate the right-hand side**:

\[
x \geq 8
\]

So the solution is:

\[
x \geq 8
\]

### Part 2: Graphing the Solution

To graph the solution \(x \geq 8\):

1. Draw a number line.
2. Mark the point \(8\) on the line.
3. Since the inequality includes equal to (≥), you would use a closed dot at \(8\).
4. Shade the region to the right of \(8\) to indicate all values greater than or equal to \(8\).

Would you like any further assistance?