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5 votes
5 votes
Solve the equation 5+10(x-9)<-103-(7-5x)

User Miniman
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1 Answer

8 votes
8 votes

we have the inequality

5+10(x-9) < -103-(7-5x)

solve for x

apply distributive property left side and remove the parenthesis right side

5+10x-90 < -103-7+5x

Combine like terms

10x-85 < 5x-110

Group terms

10x-5x < -110+85

5x < -25

x< -25/5

x < -5

the solution is the interval (-inf, -5)

set builder notation

x| x < -5

User Mehraj Khan
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3.1k points