Question

answer the following given the inequality ( 4x - 4 lt 24 )
what is the first step for solving this inequality?
add 4 to both sides
what is the solution to this inequality?
( xlt7 )
what is the graph of the solution?

Explanation:

Step1: Isolate the term with \(x\)

Given \(4x - 4<24\), add \(4\) to both sides:
\(4x-4 + 4<24 + 4\)
\(4x<28\)

Step2: Solve for \(x\)

Divide both sides by \(4\):
\(\frac{4x}{4}<\frac{28}{4}\)
\(x < 7\)

For the graph, since \(x<7\), we have an open - circle at \(7\) (because the inequality is strict, \(x
eq7\)) and the arrow points to the left (towards smaller values of \(x\)).

Answer:

The first step is to add \(4\) to both sides. The solution is \(x < 7\). The correct graph (assuming the first graph with open - circle at \(7\) and arrow to the left is an option) would be the one that has an open - circle at \(7\) and the line extending to the left. If we assume the first graph (with numbers \(4,5,6,7,8,9\)) is the correct one (open - circle at \(7\) and arrow to the left).