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Answer:
[tex]x<2[/tex]
Step-by-step explanation:
Solving inequalities is just like solving equations. Isolate x and whatever you do to one side, you must do to the other.
1) First, isolate the term with the x. To get rid of the -5, add 5 to both sides.
[tex]-5-2x>-9\\-2x>-4[/tex]
2) Next, isolate the variable x by dividing both sides by -2. However, remember that when working with inequalities, you must flip the inequality sign when dividing or multiplying by a negative number. Thus, the greater than sign becomes a less than sign.
[tex]-2x>-4\\x<2[/tex]
Thus, the answer is [tex]x<2[/tex].