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.