thank you so much i had it right. i need help with this one too. i don't understand it.
solve.
-7/2x=-9/4
the solution set is {x|x__ __}
(Simplify your answer.Type an inequality symbol;they type an integer or a fraction.)
-7/2 * x = -9/4
That is not an inequality.
To solve for x, divide both sides by -7/2
x = -(9/4) / (-7/2)
x = 9/14
To solve the equation -7/2x = -9/4, you can follow these steps:
Step 1: Cross-multiply
Multiply both sides of the equation by the denominators of the fractions to eliminate them. In this case, multiply both sides by 2 and 4 to get rid of the fractions, resulting in: -7x * 4 = -9 * 2.
Step 2: Simplify
Simplify the equation by performing the multiplication: -28x = -18.
Step 3: Solve for x
To solve for x, divide both sides of the equation by -28: x = -18 / -28.
Step 4: Simplify the fraction
Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: x = -9 / -14.
Step 5: Final answer
The solution to the equation is x = -9 / -14.
In interval notation, we can express this solution set as:
{x | -9 / -14 < x < -9 / -14}, which simplifies to {x | x > 9 / 14}.
Alternatively, you can express the solution set as:
{x | x > 0.642857...}, where the decimal approximation of -9 / -14 is 0.642857.