To solve the inequality, we first need to get rid of the fractions. We can do this by finding a common denominator for all the fractions involved, which in this case is 7.
Multiplying both sides of the inequality by 7, we get:
(4/7)x - (2/7) * 7 > (5/7) * 7
Simplifying, we have:
4x - 14 > 5
Next, we can add 14 to both sides of the inequality:
4x > 5 + 14
4x > 19
Finally, divide both sides by 4 to isolate the variable:
x > 19/4
Thus, the correct solution to the inequality is x > 19/4.
4/7x - 2/7 > 5/7
its NOT x > 7/4
3 answers
WHy can u get this right?
Apologies for the incorrect solution in my previous response. Let's correctly solve the inequality:
4/7x - 2/7 > 5/7
First, let's add 2/7 to both sides:
4/7x > 5/7 + 2/7
4/7x > 7/7
Now, we can simplify the right side:
4/7x > 1
To isolate the variable x, we can multiply both sides by the reciprocal of 4/7, which is 7/4:
(7/4)(4/7)x > (7/4)(1)
The 4/7 and 7/4 cancel each other out on the left side:
x > 7/4
Hence, the correct solution to the inequality is x > 7/4.
4/7x - 2/7 > 5/7
First, let's add 2/7 to both sides:
4/7x > 5/7 + 2/7
4/7x > 7/7
Now, we can simplify the right side:
4/7x > 1
To isolate the variable x, we can multiply both sides by the reciprocal of 4/7, which is 7/4:
(7/4)(4/7)x > (7/4)(1)
The 4/7 and 7/4 cancel each other out on the left side:
x > 7/4
Hence, the correct solution to the inequality is x > 7/4.