Please help me solve this problem
2/5(2x-3)>
please show me how this is done
Is the (2x-3) part of the denominator of the fraction? In other words, do you mean
(2/5)(2x-3) or 2/[(5(2x-3)] ?
This is not an answerable problem unless you have something on the other side of the > sign.
no, I is just like I wrote it
You wrote it ambiguously and did not complete the inequality. Therefore I cannot help you.
To solve this inequality, we need to understand and apply the basic principles of solving inequalities.
1. Remove any parentheses if possible. In this case, we can apply the distributive property to simplify the expression inside the parentheses: 2/5 * 2x - 2/5 * 3. Simplifying further, we get 4x/5 - 6/5.
2. Now, write the inequality statement: 4x/5 - 6/5 > 0.
3. Multiply both sides of the inequality by the common denominator (5) to get rid of the fractions: (5)(4x/5 - 6/5) > (5)(0), which becomes 4x - 6 > 0.
4. Next, add 6 to both sides of the inequality: 4x - 6 + 6 > 0 + 6, simplifying to 4x > 6.
5. Finally, divide both sides by 4 to isolate x: (4x)/4 > 6/4, which gives x > 3/2 or x > 1.5.
So, the solution to the inequality is x > 1.5 or x > 3/2.