how do I solve:

1.1(3x+5) is greater than or equals 1.6-(x+3)

3x+5>=1.6-x-3

3x+5>=-2.6-x
3x+7.6=-x
7.6=-2x
Divide both sides by -2 to get your answer. Post it if you'd like us to check.

42

To solve the inequality 1.1(3x+5) ≥ 1.6 - (x+3), follow these steps:

Step 1: Distribute the coefficients on both sides of the inequality
Multiply 1.1 by (3x+5) and -1 by (x+3):
3.3x + 5.5 ≥ 1.6 - x - 3

Step 2: Combine like terms
Combine the x terms and the constants on both sides of the inequality:
4.3x + 5.5 ≥ -1.4

Step 3: Move the constant term to the other side of the inequality
Subtract 5.5 from both sides of the inequality:
4.3x ≥ -1.4 - 5.5
4.3x ≥ -6.9

Step 4: Solve for x
To isolate x, divide both sides of the inequality by 4.3:
x ≥ -6.9/4.3

Step 5: Simplify
Calculate the division:
x ≥ -1.605

The solution to the inequality 1.1(3x+5) ≥ 1.6 - (x+3) is x ≥ -1.605.