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Which represents the solution set to the inequality ?

-1.5(4x+1) less than or equal to 4.5-2.5(x+1)



need help asap steps please tho thx

User Xaav
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2 Answers

4 votes
X is greater than or equal to 1
User Offirmo
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3 votes

Answer:

x >= 1

Sorry this keyboard doesn't have greater than or equal to symbol.

Explanation:

-1.5(4x+1) =< 4.5 -2.5(x+1) Distribute factors to get:

-6x - 1.5 =< 4.5 -2.5x -2.5

Combine like terms on right

4.5-2.5=2 Add 2.5x to both sides and add 1.5 to both sides. You get

-3.5x =< 3.5 Divide both sides by -3.5 and remember to reverse the less than to more than when you divide by a negative number.

x >= 1

User Timothy Winters
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5.3k points