Question

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

d. apply the distributive property.
apply the addition or subtraction property of inequality, and simplify
6x - 15 ≥ -14
6x ≥ 1
(type an integer or a fraction.)
what is the best next step to solve the given inequality?
a. combine like terms where possible.
b. apply the multiplication or division property of inequality.
c. apply the distributive property.
d. apply the addition or subtraction property of inequality.
click to select your answer and then click check answer

Explanation:

We have the inequality \(6x \geq 1\). To solve for \(x\), we need to isolate \(x\). Since \(x\) is multiplied by 6, the next step is to apply the Multiplication or Division Property of Inequality (divide both sides by 6) to get \(x\) by itself. Option A is incorrect as there are no like terms to combine. Option C is incorrect as the distributive property was already applied earlier. Option D is incorrect as we already used the addition property to get to \(6x \geq 1\), and now we need to deal with the multiplication/division of 6 and \(x\).

Answer:

B. Apply the Multiplication or Division Property of Inequality.