QuestionSulue fie fillowing equations tors $\begin{array}{rrr} 2 x-5=- & \text { ar } & 2 x-5=-1 \\ 2 x=6 & \text { ar } & 2 x=4 \\ z=3 & \text { ar } & x=2 \end{array}$
Thice integess ar simplifed tactions) What $s$ the rext sten?
1. Euature $2 x-5 \mid>1$ fir the zalues found in the previcus step

Studdy Solution

STEP 1

1. We have two equations: $2x - 5 = 1$ and $2x - 5 = -1$ .
2. The solutions to these equations are $x = 3$ and $x = 2$ , respectively.
3. We need to determine the next step in solving or analyzing these equations.

STEP 2

1. Understand the meaning of the equations and their solutions.
2. Determine the next logical step based on the given options.

STEP 3

The equations $2x - 5 = 1$ and $2x - 5 = -1$ are solved to find the values of $x$ .
The solutions are $x = 3$ for $2x - 5 = 1$ and $x = 2$ for $2x - 5 = -1$ .

STEP 4

The next step involves evaluating the inequality $|2x - 5| > 1$ for the x-values found, as per option A.
This involves checking if the absolute value condition holds true for the solutions $x = 3$ and $x = 2$ .
The next step is to evaluate $|2x - 5| > 1$ for the x-values found, which corresponds to option A.

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