- 2/5 x - 9 < 9/10
Does x indicate multiplication or an unknown number?
Is it (-2/5)x or (-2)/5x
add 9, multiply by 5, divide by -2 and change direction
To solve the inequality -2/5x - 9 < 9/10, follow these steps:
Step 1: Move the constant term to the other side of the inequality.
-2/5x < 9/10 + 9
Step 2: Simplify the right side of the inequality.
-2/5x < 9/10 + 90/10
Step 3: Combine the fractions on the right side.
-2/5x < 99/10
Step 4: Multiply both sides of the inequality by the reciprocal of -2/5, which is -5/2. When multiplying or dividing an inequality by a negative number, the direction of the inequality sign must be flipped.
(-2/5x) * (-5/2) > (99/10) * (-5/2)
Step 5: Simplify both sides of the inequality.
x > -495/20
Step 6: Reduce the right side.
x > -99/4
Therefore, the solution to the inequality is x greater than -99/4.