Question

which expression is equivalent to (-1.3x - 4.5) - (-2.1x + 3.6)?
a. -3.4x - 8.1
b. -3.4x - 0.9
c. 0.8x - 8.1
d. 0.8x - 1.9

Explanation:

Step1: Distribute the negative sign

We have the expression \((-1.3x - 4.5)-(-2.1x + 3.6)\). When we distribute the negative sign to the terms inside the second parentheses, we get \(-1.3x - 4.5 + 2.1x - 3.6\).

Step2: Combine like terms for x - terms

Combine the \(x\) - terms: \(-1.3x+2.1x\). Using the rule of combining like terms (adding the coefficients), we have \((-1.3 + 2.1)x=0.8x\).

Step3: Combine like terms for constant terms

Combine the constant terms: \(-4.5-3.6=-8.1\).

Step4: Form the final expression

Putting the combined \(x\) - term and the combined constant term together, we get \(0.8x-8.1\).

Answer:

C. \(0.8x - 8.1\)