2x/5 - 3x +2 >= ( greater than or equal) x-1
My answer was x is less than or equal to 7.5 but im not sure
I think it should be x<=5/6
1. multiply through by 5....
2x-15x+10>=5x-5
2. combine like terms...
-13x+10>=5x-5
3. get your variables on one side(-5x from both sides)
-18x+10>= -5
4. isolate the variable...
(-10..)
-18x>=-15
5. /both sides by -18 !!careful!!
whenever you * or divide both sides of an inequality, you have to switch the direction of that inequality !!
x<=-15/-18 .... x<=5/6
I hope this helps..
let's see ...
2x/5 - 3x + 2 ≥ x-1
multiply by 5 , the LCD
2x - 15x + 10 ≥ 5x - 5
-18x ≤ -15
x ≥ 15/18
mmmhh?
could it be that your denominator is 5-3x ??
then you should have typed it like
2x/(5-3x) + 2 ......
let me know
near the end should have been
2x - 15x + 10 ≥ 5x - 5
-18x ≥ -15
x ≤ 15/18
x ≤ 5/6 , just like Dan had
Thanks for the help and reiny no that's not the denominator its 2x/5 - 3x+2 greater than or equal to x-1
Ok, then, go with mine and Dan's answer, they are the same
I was just trying to figure out how you possibly got your answer
Haha thanks and cause i forgot to multiply -3x+2 by 5
To solve the inequality 2x/5 - 3x + 2 ≥ x - 1, we can follow these steps:
1. Start by simplifying both sides of the inequality. Combine like terms on each side and get rid of any fractions if possible.
2x/5 - 3x + 2 ≥ x - 1
Multiply both sides by 5 to eliminate the fraction:
2x - 15x + 10 ≥ 5x - 5
2. Continue simplifying the equation by combining like terms on each side.
-13x + 10 ≥ 5x - 5
Move all the terms containing x to one side of the equation:
-13x - 5x ≥ - 5 - 10
-18x ≥ -15
3. Now, divide both sides of the inequality by -18. Remember that since we are dividing by a negative number, we need to flip the direction of the inequality sign.
x ≤ -15/-18 (Note: When dividing by a negative number, the inequality sign flips)
x ≤ 5/6
So the solution is x ≤ 5/6.
Therefore, your answer of x ≤ 7.5 is incorrect. The correct answer is x ≤ 5/6.