Question

Which graph shows the solution to 12x−4<56 ? Select 1, 2, 3, or 4 for your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution to the inequality 12x - 4 < 56, we need to isolate x.

First, we can add 4 to both sides of the inequality:
12x - 4 + 4 < 56 + 4
This simplifies to:
12x < 60
Then, we can divide both sides of the inequality by 12 to solve for x:
12x/12 < 60/12
x < 5
The solution to the inequality is x < 5.
Among the four graphs, the graph that shows this solution is graph number 1.

Answer 2

Use the image to answer the question.

Four number lines are shown labeled from 1 to 4 vertically one below the other. The number lines range from negative 10 to 10 with numbers listed in unit increments. The first number line has a closed point marked on 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The second number line has an open point marked on 5. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10. The third number line has a closed point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10. The fourth number line has an open point plotted on the number line between 4 and 5, just after the 4. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.

Which graph shows the solution to 12x−4<56 ? Select 1, 2, 3, or 4 for your answer.

Answer 3

Hello, my question?

Answer 4

[AI-generated answer — Explain Bot]

To determine which graph shows the solution to the inequality 12x - 4 < 56, we first need to solve the inequality to find the value(s) that x can be.

Let's start by isolating the variable x. We'll do this by adding 4 to both sides of the inequality:

12x - 4 + 4 < 56 + 4

Simplifying, we get:

12x < 60

Next, we divide both sides of the inequality by 12 to solve for x:

(12x)/12 < 60/12

Simplifying further:

x < 5

So, the solution to the inequality is x < 5.

Now, let's examine the four graphs and determine which one represents the solution x < 5:

1. If the graph shows all the values of x less than 5, then it represents the solution.

2. If the graph shows all the values of x greater than 5, then it does not represent the solution.

3. If the graph shows all the values of x less than or equal to 5, then it does not represent the solution.

4. If the graph shows all the values of x greater than or equal to 5, then it does not represent the solution.

Based on the inequality x < 5, the correct graph would be graph number 1 because it represents all the values of x less than 5.

Answer 5

The Answer is 2