To solve this inequality, we need to isolate the variable "x" on one side of the inequality sign.
Negative 2/5x - 9 < 9/10
First, let's add 9 to both sides to eliminate the negative 9 on the left side:
Negative 2/5x - 9 + 9 < 9/10 + 9
Negative 2/5x < 9/10 + 9
Simplifying further:
Negative 2/5x < 9/10 + 90/10
Negative 2/5x < 99/10
To get rid of the negative 2/5 coefficient next to "x," we need to multiply both sides by the reciprocal of -2/5, which is -5/2. However, when multiplying or dividing an inequality by a negative number, we must reverse the inequality sign.
Multiplying both sides by -5/2:
(-5/2) * (Negative 2/5x) > (-5/2) * (99/10)
(x) > -247.5/10
Finally, we can simplify the expression:
x > -247.5/10
Therefore, the solution to the inequality is x > -24.75.
Negative 2 over 5 x minus 9 < 9 over 10
solve.
1 answer