To solve the inequality 1/4x - 3/4 > 5 1/4, we can add 3/4 to both sides to isolate x:
1/4x > 5 1/4 + 3/4
1/4x > 21/4
Now, to get rid of the fraction, we can multiply both sides by 4, resulting in:
4(1/4x) > 4(21/4)
x > 21
Therefore, the solution to the inequality is x > 21.
Solve 1/4x−3/4>5 1/4 .(1 point)
Responses
x>21 3/4
x greater than 21 Start Fraction 3 over 4 end fraction
x>1 1/2
x greater than 1 Start Fraction 1 over 2 end fraction
x>18
x greater than 18
x>24
5 answers
WRONG
Apologies for the incorrect response. Let's solve the inequality correctly:
To solve the inequality 1/4x - 3/4 > 5 1/4, we can start by finding the common denominator for the fractions involved, which is 4.
Multiplying the entire inequality by 4 to eliminate fractions, we get:
4 * (1/4x - 3/4) > 4 * (5 1/4)
1x - 3 > 20
Next, we can add 3 to both sides of the inequality to isolate x:
1x - 3 + 3 > 20 + 3
1x > 23
Therefore, the solution to the inequality is x > 23.
To solve the inequality 1/4x - 3/4 > 5 1/4, we can start by finding the common denominator for the fractions involved, which is 4.
Multiplying the entire inequality by 4 to eliminate fractions, we get:
4 * (1/4x - 3/4) > 4 * (5 1/4)
1x - 3 > 20
Next, we can add 3 to both sides of the inequality to isolate x:
1x - 3 + 3 > 20 + 3
1x > 23
Therefore, the solution to the inequality is x > 23.
pick one of the choices
Apologies for the confusion earlier. Let's go through the choices and determine the correct solution.
1) x > 21 3/4
To verify if this is the correct solution, we substitute x with a value greater than 21 3/4, let's say 22:
1/4 * 22 - 3/4 = 5 1/4
5.5 - 0.75 = 5.25
The inequality does not hold true for this value. So, x > 21 3/4 is not the correct solution.
2) x > 1 1/2
To verify if this is the correct solution, we substitute x with a value greater than 1 1/2, let's say 2:
1/4 * 2 - 3/4 = 5 1/4
0.5 - 0.75 = -0.25
The inequality does not hold true for this value. So, x > 1 1/2 is not the correct solution.
3) x > 18
To verify if this is the correct solution, we substitute x with a value greater than 18, let's say 19:
1/4 * 19 - 3/4 = 5 1/4
4.75 - 0.75 = 4
The inequality holds true for this value. So, x > 18 is the correct solution.
4) x > 24
To verify if this is the correct solution, we substitute x with a value greater than 24, let's say 25:
1/4 * 25 - 3/4 = 5 1/4
6.25 - 0.75 = 5.5
The inequality holds true for this value. So, x > 24 is also a correct solution.
Therefore, the correct solution is x > 18 and x > 24.
1) x > 21 3/4
To verify if this is the correct solution, we substitute x with a value greater than 21 3/4, let's say 22:
1/4 * 22 - 3/4 = 5 1/4
5.5 - 0.75 = 5.25
The inequality does not hold true for this value. So, x > 21 3/4 is not the correct solution.
2) x > 1 1/2
To verify if this is the correct solution, we substitute x with a value greater than 1 1/2, let's say 2:
1/4 * 2 - 3/4 = 5 1/4
0.5 - 0.75 = -0.25
The inequality does not hold true for this value. So, x > 1 1/2 is not the correct solution.
3) x > 18
To verify if this is the correct solution, we substitute x with a value greater than 18, let's say 19:
1/4 * 19 - 3/4 = 5 1/4
4.75 - 0.75 = 4
The inequality holds true for this value. So, x > 18 is the correct solution.
4) x > 24
To verify if this is the correct solution, we substitute x with a value greater than 24, let's say 25:
1/4 * 25 - 3/4 = 5 1/4
6.25 - 0.75 = 5.5
The inequality holds true for this value. So, x > 24 is also a correct solution.
Therefore, the correct solution is x > 18 and x > 24.
1 answer