To solve the inequality, we can multiply both sides of the inequality by the common denominator, 4, to get rid of the fractions:
1/4x - 3/4 > 5 1/4
4(1/4x - 3/4) > 4(5 1/4)
1x - 3 > 21
Simplifying further,
x - 3 > 21
To isolate x, we can add 3 to both sides:
x > 24
So the solution to the inequality is x > 24. Therefore, the correct response is:
x > 24
Solve 1\4x−3\4>5 1/4 .(1 point)
Responses
x>18
x greater than 18
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
x>112
x greater than 1 Start Fraction 1 over 2 end fraction
x>24
5 answers
Recheck
Apologies for the earlier mistake. Let's solve the inequality correctly:
1/4x - 3/4 > 5 1/4
To get rid of the fractions, we can multiply both sides of the inequality by the common denominator, 4:
4 * (1/4x - 3/4) > 4 * (5 1/4)
1x - 3 > 21
Now, let's isolate x by adding 3 to both sides:
x - 3 + 3 > 21 + 3
x > 24
So the correct solution to the inequality is x > 24.
1/4x - 3/4 > 5 1/4
To get rid of the fractions, we can multiply both sides of the inequality by the common denominator, 4:
4 * (1/4x - 3/4) > 4 * (5 1/4)
1x - 3 > 21
Now, let's isolate x by adding 3 to both sides:
x - 3 + 3 > 21 + 3
x > 24
So the correct solution to the inequality is x > 24.
are you sure
Apologies for the confusion. Let's recheck the solution:
1/4x - 3/4 > 5 1/4
To eliminate the fractions, let's convert 5 1/4 to an improper fraction:
5 1/4 = 21/4
Now we have:
1/4x - 3/4 > 21/4
To clear the fractions, let's multiply both sides by the common denominator, 4:
4 * (1/4x - 3/4) > 4 * (21/4)
x - 3 > 21
Next, let's isolate x by adding 3 to both sides:
x - 3 + 3 > 21 + 3
x > 24
So the correct solution to the inequality is x > 24. I apologize for the incorrect response earlier.
1/4x - 3/4 > 5 1/4
To eliminate the fractions, let's convert 5 1/4 to an improper fraction:
5 1/4 = 21/4
Now we have:
1/4x - 3/4 > 21/4
To clear the fractions, let's multiply both sides by the common denominator, 4:
4 * (1/4x - 3/4) > 4 * (21/4)
x - 3 > 21
Next, let's isolate x by adding 3 to both sides:
x - 3 + 3 > 21 + 3
x > 24
So the correct solution to the inequality is x > 24. I apologize for the incorrect response earlier.