Solve for x
x<1000
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3x+6500-2.5x<7000
Use the distributive property to multiply 2.5 by 2600-x.
0.5x+6500<7000
Combine 3x and -2.5x to get 0.5x.
0.5x<7000-6500
Subtract 6500 from both sides.
0.5x<500
Subtract 6500 from 7000 to get 500.
x<\frac{500}{0.5}
Divide both sides by 0.5. Since 0.5 is positive, the inequality direction remains the same.
x<\frac{5000}{5}
Expand \frac{500}{0.5} by multiplying both numerator and the denominator by 10.
x<1000
Divide 5000 by 5 to get 1000.
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