Solve the inequality 23x≤5

Question

. Which of the following graphs shows the solution? (1 point) w one? 1 2 3 or 4
Responses

A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 4 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 4 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.

A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5 start fraction 2 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5 start fraction 2 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.

A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 7.5. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 7.5. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.

A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 3 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 3 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
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Answer 1

To solve the inequality \( 23x \leq 5 \), we start by isolating \( x \):

1. Divide both sides by 23: \[ x \leq \frac{5}{23} \]

2. Calculate \( \frac{5}{23} \): \[ \frac{5}{23} \approx 0.217 \]

This means \( x \) can take any value less than or equal to approximately 0.217.

In terms of plotting this on a number line, we will place a closed point (indicating that \( x \) can equal \( \frac{5}{23} \)) at \( \frac{5}{23} \) and draw an arrow extending left to represent all values less than \( \frac{5}{23} \).

Now, let's identify which of the descriptions of the graphs correspond to this.

1. If any of the graphs marks a closed point at or just below \( 0.217 \) (or at \( \frac{5}{23} \)), and shows an arrow extending left from that point, it would be the correct option.

In this case, based on your description, the most relevant graph would detail the closed point at \( \frac{5}{23} \) with a leftward arrow.

Review the options and find the graph that matches \( x \leq \frac{5}{23} \). Since you mentioned different closed points in the options, here’s a logical deduction:

• The closed point at \( \frac{5}{23} \) will be the one that aligns with the inequality you solved. Since it is around \( 0.217 \), check which option best approximates that location.

Assuming you have the graphs visually in front of you, the appropriate choice should note a closed circle close to \( 0.217 \) with a leftward arrow.

Answer 2

dumb it down wats thw answer?