How would i solve -0.1x+(-1)>-0.4
-.1x-1>.4
-.1x>1.4
x<14
dividing/multiplying negatives switches the sign
-0.1x+(-1)>-0.4
-0.1x > 1 -0.4
-0.1x > 0.6
x > 0.6 / -0.1
x < -6
To solve the inequality -0.1x + (-1) > -0.4, you can follow these steps:
Step 1: Simplify the equation by combining like terms. In this case, combine -0.1x and -1.
-0.1x - 1 > -0.4
Step 2: Add 1 to both sides of the equation to isolate the variable term (-0.1x).
-0.1x > -0.4 + 1
Simplifying further:
-0.1x > 0.6
Step 3: Divide both sides of the inequality by -0.1. Remember, when dividing an inequality by a negative number, the direction of the inequality sign needs to be flipped.
(-0.1x) / -0.1 < (0.6) / -0.1
x < (0.6) / -0.1
Simplifying the division:
x < -6
The solution to the inequality is x < -6.