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What is the first step in solving the inequality [tex]\(2x + 3 \geq 17\)[/tex]?

A. Divide the left side by 2
B. Subtract 3 from both sides
C. Change the direction of the inequality
D. Change the inequality to [tex]\(\ \textgreater \ \)[/tex]


Sagot :

To solve the inequality [tex]\(2x + 3 \geq 17\)[/tex], the first step is to isolate the term with [tex]\(x\)[/tex]. Here is the step-by-step solution:

1. Subtract 3 from both sides of the inequality: This will help to isolate the term involving [tex]\(x\)[/tex].
[tex]\[ 2x + 3 - 3 \geq 17 - 3 \][/tex]
Simplifying this gives:
[tex]\[ 2x \geq 14 \][/tex]

So, the correct first step in solving the inequality [tex]\(2x + 3 \geq 17\)[/tex] is to subtract 3 from both sides.