Solve for x. Graph the solution.

Question

minusfive fourths
xless than or equalsnegative 10
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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 \(8\).

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