Question

solve the inequality explain how you found your answer
6(x - 2) - 3 ≥ -3(-2 + 9) + 7
(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.
apply the addition or subtraction property of inequality, and simplify
6x - 15 ≥ -14
6x ≥ \square
(type an integer or a fraction )
enter your answer in the answer box and then click check answer

Explanation:

Step1: Identify the operation needed

We have the inequality \(6x - 15\geq - 14\). To isolate the term with \(x\) (which is \(6x\)), we need to get rid of the \(- 15\) on the left - hand side. According to the Addition Property of Inequality, if we add the same number to both sides of an inequality, the direction of the inequality sign remains the same. So we add 15 to both sides.

Step2: Perform the addition

Adding 15 to both sides of the inequality \(6x-15\geq - 14\):
\(6x-15 + 15\geq-14 + 15\)
Simplifying the left - hand side: \(-15 + 15=0\), so we have \(6x\geq1\) (since \(-14 + 15 = 1\)).

Answer:

\(1\)