To solve the inequality -2/5x - 9 < 9/10, we can follow these steps:
1. Start by adding 9 to both sides of the inequality to isolate the variable term:
-2/5x - 9 + 9 < 9/10 + 9/10
-2/5x < 9/10 + 9/10
2. Simplify the right side of the equation:
-2/5x < 18/10
3. Next, let's simplify the expression on the left side by multiplying both sides by -5/2 (or dividing by -2/5) to eliminate the fraction:
(-5/2) * (-2/5x) > (-5/2) * (18/10)
x > -90/20
4. Simplify the equation resulting from the multiplication:
x > -9/2
5. Finally, we can express the solution as an inequality:
x > -9/2 (or x > -4.5 in decimal form)
-2/5x-9<9/10 show ur steps
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