To solve the inequality 8x > 24, you can follow these steps:
Step 1: Divide both sides of the inequality by 8.
When you divide both sides of the inequality by a positive number (in this case, 8), the direction of the inequality remains the same.
Thus, (8x)/8 > 24/8 simplifies to x > 3.
Therefore, the solution to the inequality 8x > 24 is x > 3, which means that any value of x greater than 3 will satisfy the inequality.
To solve the inequality 8x > 24, follow these steps:
Step 1: Divide both sides of the inequality by 8:
(8x)/8 > 24/8
This simplifies to:
x > 3
Therefore, the correct response is x > 3.
how do I get to x>3??
11 answers
\dfrac{ x }{ 13 } < \dfrac{ 4 }{ 5 }
To solve the inequality $\frac{x}{13} < \frac{4}{5}$, follow these steps:
Step 1: Multiply both sides of the inequality by 13.
$\frac{x}{13} \cdot 13 < \frac{4}{5} \cdot 13$
This simplifies to: $x < \frac{52}{5}$
Step 2: Simplify the result.
$x < \frac{52}{5}$ can also be written as $x < 10.4$
Therefore, the solution to the inequality $\frac{x}{13} < \frac{4}{5}$ is $x < 10.4$. This means that any value of x less than 10.4 will satisfy the inequality.
Step 1: Multiply both sides of the inequality by 13.
$\frac{x}{13} \cdot 13 < \frac{4}{5} \cdot 13$
This simplifies to: $x < \frac{52}{5}$
Step 2: Simplify the result.
$x < \frac{52}{5}$ can also be written as $x < 10.4$
Therefore, the solution to the inequality $\frac{x}{13} < \frac{4}{5}$ is $x < 10.4$. This means that any value of x less than 10.4 will satisfy the inequality.
Solve 8x>24 .(1 point)Responsesx>3x greater than 3x<16x less than 16x>16x greater than 16x<3
To solve the inequality 8x > 24, follow these steps:
Step 1: Divide both sides of the inequality by 8.
(8x)/8 > 24/8
This simplifies to:
x > 3
Therefore, the correct response is x > 3.
Step 1: Divide both sides of the inequality by 8.
(8x)/8 > 24/8
This simplifies to:
x > 3
Therefore, the correct response is x > 3.
how would I do this
Solve the inequality 4x>10 . Which of the following graphs shows the solution?
Solve the inequality 4x>10 . Which of the following graphs shows the solution?
To solve the inequality 4x > 10, follow these steps:
Step 1: Divide both sides of the inequality by 4.
(4x)/4 > 10/4
This simplifies to:
x > 2.5
This means that any value of x greater than 2.5 will satisfy the inequality.
Now, to determine which graph shows the solution, we need to compare the inequality x > 2.5 with the given options. Without having access to the provided graphs, it is not possible to determine the correct one. Please provide the options or a description of the graphs, and I can help identify the correct representation of the solution.
Step 1: Divide both sides of the inequality by 4.
(4x)/4 > 10/4
This simplifies to:
x > 2.5
This means that any value of x greater than 2.5 will satisfy the inequality.
Now, to determine which graph shows the solution, we need to compare the inequality x > 2.5 with the given options. Without having access to the provided graphs, it is not possible to determine the correct one. Please provide the options or a description of the graphs, and I can help identify the correct representation of the solution.
would it be the one with the line that goes from -10 and the circle goes to 2.5? or no
Yes, if the graph has a solid line that starts from -10 and ends with an open circle at 2.5, then it represents the solution to the inequality 4x > 10. The open circle indicates that 2.5 is not included in the solution set, since the inequality is strict (greater than), not greater than or equal to. All values to the right of 2.5 on the number line would satisfy the inequality.
Use the image to answer the question.Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?(1 point)Responses8x>148 x greater than 146x<10.56 x less than 10.54x>74 x greater than 71.75x<3.5
the image the line goes from -10 and has an open circle at 1.75
the image the line goes from -10 and has an open circle at 1.75
Based on the image you provided, the correct inequality that Nora solved and graphed on the number line is:
4x > 7
This is represented by the line starting from -10 and having an open circle at 1.75. All values greater than 1.75 on the number line would satisfy the inequality.
So, the correct response is 4x > 7.
4x > 7
This is represented by the line starting from -10 and having an open circle at 1.75. All values greater than 1.75 on the number line would satisfy the inequality.
So, the correct response is 4x > 7.
1 answer