solve the inequality 2-5x/7<2/5
simplify x/3+5x/9-5x/18
For your second question, use a common denominator of 18.
(6x + 10x - 5x)/18 = ?
For the first question, I don't know if you mean
(2-5x)/7 or 2 -(5x/7)
They are not the same.
To solve the inequality 2 - (5x/7) < 2/5, we need to isolate the variable x. Here's how:
Step 1: Distribute the 5/7 to the expression (5x/7), which gives us:
2 - 5x/7 < 2/5
Step 2: Multiply both sides of the inequality by the least common denominator (LCD) to eliminate the fractions. The LCD is 35 (a multiple of both 7 and 5):
(35)(2) - (35)(5x/7) < (35)(2/5)
70 - 25x < 14
Step 3: Simplify the equation:
70 - 25x < 14
-25x < 14 - 70
-25x < -56
Step 4: Divide both sides of the inequality by -25. Since we are dividing by a negative number, we need to reverse the inequality symbol:
x > (-56) / (-25)
x > 56/25
Therefore, the solution to the inequality 2 - (5x/7) < 2/5 is x > 56/25.