To solve this equation, we want to compare the coefficients of x on both sides of the equation.
On the left side, we have 1/2x.
On the right side, we have 1/3x-5.
We see that the coefficients of x are not the same. To make them the same, we need to multiply the coefficient on the left side by 3 and the coefficient on the right side by 2.
1/2x * 3 = 3/2x
1/3x-5 * 2 = 2/3x - 10
Now the equation becomes:
3/2x ? 2/3x - 10
To compare these fractions, we need to have a common denominator. The least common multiple of 2 and 3 is 6, so we can convert the fractions to have a denominator of 6:
(3/2x)(3/3) ? (2/3x - 10)(2/2)
9/6x ? 4/6x - 20/2
Simplifying further:
9/6x ? 4/6x - 10
Now, we can compare the coefficients of x:
9/6x > 4/6x - 10
So, the symbol that can replace the ? in the equation is >.
Determine which symbol can replace the ? to make the following and equation:
1/2x ? 1/3x-5
1 answer
1 answer