0.4x+4<0.8x-7
the < has a line under it im supposed to put a inequality symbol and the rest of the answer
0.4x+4<0.8x-7
0.4x+4 ≤ 0.8x-7 multiply by 10
4x + 40 ≤ 8x - 70
-4x ≤ 110
x ≥ -55/2 or x ≥ -27.5
To solve the inequality 0.4x + 4 < 0.8x - 7, you can follow these steps:
Step 1: Move all terms containing x to one side of the inequality and all constant terms to the other side.
Starting with the given inequality: 0.4x + 4 < 0.8x - 7
Subtracting 0.8x from both sides: - 0.4x + 4 < -7
Step 2: Simplify both sides of the inequality.
At this point, it's helpful to keep the variable term (in this case, -0.4x) on the left side of the inequality and the constant term (in this case, -7) on the right side.
Adding 7 to both sides: -0.4x + 4 + 7 < -7 + 7
Simplifying: -0.4x + 11 < 0
Step 3: Divide both sides of the inequality by the coefficient of x, which is -0.4 (remember that dividing by a negative number reverses the inequality sign).
Dividing by -0.4: (-0.4x + 11) ÷ (-0.4) > 0 ÷ (-0.4)
Simplifying: x - 27.5 > 0
Step 4: Finally, rewrite the inequality with the correct symbol.
The inequality symbol with a line underneath it indicates "less than or equal to". In this case, there is no line underneath, so it is just "less than".
Therefore, the final answer is:
x - 27.5 > 0