To solve 4/7x - 2/7 > 5/7, let's first combine like terms on the left side:
4/7x - 2/7 > 5/7
Subtracting 5/7 from both sides:
4/7x - 2/7 - 5/7 > 0
4/7x - 7/7 > 0
Simplifying:
4/7x - 1 > 0
Now, let's solve for x by isolating it:
4/7x > 1
Multiplying both sides by 7/4:
(7/4)(4/7x) > (7/4)(1)
(7/4) cancels out the (4/7) on the left side of the equation, and we're left with:
x > 7/4
Writing the answer as a mixed number:
x > 1 3/4
Solve 4/7x - 2/7 > 5/7 Write the
rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.
11 answers
Use the image to answer the question.
4.1 5 6 7 8 9 10
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
Note: You will find the option to add a>, <,>, or ≤ symbol in the Comparison (<) keyboard.
4.1 5 6 7 8 9 10
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
Note: You will find the option to add a>, <,>, or ≤ symbol in the Comparison (<) keyboard.
Without the image or more specific information on the position of the labeled numbers, it is not possible to determine the linear inequality shown on the number line. Please provide further information or the image for a more accurate answer.
just give me an answer
Based on the labeled numbers 4.1, 5, 6, 7, 8, 9, 10, it is not possible to determine the exact linear inequality shown on the number line.
Solve 8x + 4 > 52.
To solve the inequality 8x + 4 > 52, let's isolate the variable x by subtracting 4 from both sides:
8x + 4 - 4 > 52 - 4
8x > 48
Now, let's solve for x by dividing both sides by 8:
(8x)/8 > 48/8
x > 6
So, the solution to the inequality 8x + 4 > 52 is x > 6.
8x + 4 - 4 > 52 - 4
8x > 48
Now, let's solve for x by dividing both sides by 8:
(8x)/8 > 48/8
x > 6
So, the solution to the inequality 8x + 4 > 52 is x > 6.
Solve 1/4x−3/4>5 1/4
To solve the inequality 1/4x - 3/4 > 5 1/4, we need to get rid of the fraction's denominators.
First, let's find a common denominator, which is 4:
1/4x - 3/4 > 5 + 1/4
Now, we can combine the whole numbers and fractions on the right side:
1/4x - 3/4 > 21/4
Next, let's isolate the variable x by adding 3/4 to both sides:
1/4x - 3/4 + 3/4 > 21/4 + 3/4
1/4x > 24/4
Simplifying further:
1/4x > 6
To get rid of the fraction 1/4, we can multiply both sides of the inequality by its reciprocal, which is 4/1:
(1/4x)(4/1) > 6(4/1)
x > 24/1
So, the solution to the inequality 1/4x - 3/4 > 5 1/4 is x > 24/1, which can be simplified to x > 24.
First, let's find a common denominator, which is 4:
1/4x - 3/4 > 5 + 1/4
Now, we can combine the whole numbers and fractions on the right side:
1/4x - 3/4 > 21/4
Next, let's isolate the variable x by adding 3/4 to both sides:
1/4x - 3/4 + 3/4 > 21/4 + 3/4
1/4x > 24/4
Simplifying further:
1/4x > 6
To get rid of the fraction 1/4, we can multiply both sides of the inequality by its reciprocal, which is 4/1:
(1/4x)(4/1) > 6(4/1)
x > 24/1
So, the solution to the inequality 1/4x - 3/4 > 5 1/4 is x > 24/1, which can be simplified to x > 24.
Solve the inequality 6x + 9 > 57.
Which of the following graphs shows the solution? (1 point)
Which of the following graphs shows the solution? (1 point)
To solve the inequality 6x + 9 > 57, let's first isolate the variable x by subtracting 9 from both sides:
6x + 9 - 9 > 57 - 9
6x > 48
Now, let's solve for x by dividing both sides by 6:
(6x)/6 > 48/6
x > 8
The solution to the inequality 6x + 9 > 57 is x > 8.
Without the given graphs or descriptions of the graphs, I cannot determine which graph shows the solution. Please provide the available options or further information to assist you better.
6x + 9 - 9 > 57 - 9
6x > 48
Now, let's solve for x by dividing both sides by 6:
(6x)/6 > 48/6
x > 8
The solution to the inequality 6x + 9 > 57 is x > 8.
Without the given graphs or descriptions of the graphs, I cannot determine which graph shows the solution. Please provide the available options or further information to assist you better.