Question

solve the inequality. explain how you found your answer.
6(x - 2) - 3 ≥ -3(-2 + 9) + 7

d. apply the multiplication or division property of inequality.
apply the distributive property, and simplify.
6(x - 2) - 3 ≥ -14
6x - 15 ≥ -14
(simplify your answer.)
what is the best next step to solve the given inequality?
a. combine like terms where possible.
b. apply the addition or subtraction property of inequality.
c. apply the multiplication or division property of inequality
d. apply the distributive property.
click to select your answer and then click check answer.
2 parts

Explanation:

Step1: Analyze the current inequality

We have the inequality \(6x - 15\geq - 14\). The goal is to isolate \(x\). The next logical step is to get rid of the constant term \(- 15\) on the left - hand side.

Step2: Determine the appropriate property

To eliminate \(-15\) from the left - hand side, we can use the Addition Property of Inequality, which states that if \(a\geq b\), then \(a + c\geq b + c\) for any real number \(c\). If we add \(15\) to both sides of the inequality \(6x-15\geq - 14\), we can start to isolate the term with \(x\). This is an application of the Addition or Subtraction Property of Inequality (in this case, addition).

Answer:

B. Apply the Addition or Subtraction Property of Inequality.