andybiersack154
Answered

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Solve the following inequality. -5-2x>-9. Show all work you did to get the answer

Sagot :

cosmickid287

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].

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