Homework help please:
algebra inequality
0.3 - 0.5n + 1 is greater than or equal to 0.4
i think equal.
.3-.5n+1>=.4
1.3-.5n>=.4
-.5n>=-.9
n>=1.8
well you can multiply it by 10 to make it simple because they are all in the tens place
To solve this algebraic inequality, follow these steps:
Step 1: Simplify the inequality equation.
Start by simplifying the left side of the inequality equation: 0.3 - 0.5n + 1.
Combine the terms:
0.3 + 1 = 1.3
Now, rewrite the inequality:
1.3 - 0.5n ≥ 0.4
Step 2: Isolate the variable.
To isolate the variable 'n', subtract 1.3 from both sides of the equation:
1.3 - 1.3 - 0.5n ≥ 0.4 - 1.3
This simplifies to:
-0.5n ≥ -0.9
Step 3: Solve for the variable.
Now, to solve for 'n', divide both sides of the inequality by -0.5. Remember, when dividing or multiplying by a negative number, the inequality sign flips.
(-0.5n) / -0.5 ≤ (-0.9) / -0.5
This simplifies to:
n ≤ 1.8
So the solution for the inequality is n ≤ 1.8.