Question

question 5 of 11, step 2 of 2
7/19
correct
consider the following inequality
-2(3x + 5) ≤ -2x + 10
step 2 of 2 : graph the solution to the given inequality.
answer
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pressing the buttons will create an interval with the indicated endpoint type. the interval is graphed by moving the endpoints to the desired values. to remove graphed
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Explanation:

Step1: Solve the inequality

$$\begin{align*} -2(3x + 5)&\leq-2x + 10\\ -6x-10&\leq-2x + 10\\ -6x + 2x&\leq10 + 10\\ -4x&\leq20\\ x&\geq- 5 \end{align*}$$

Step2: Graph the solution

Since \(x\geq - 5\), we use a closed - circle at \(x = - 5\) (because the inequality is \(\geq\), including the endpoint) and draw an arrow to the right.

Answer:

Graph with a closed - circle at \(-5\) and an arrow to the right.