You need to isolate/get x by itself in the inequality:
x - 10 < 6 - 5x Add 5x on both sides
x + 5x - 10 < 6 - 5x + 5x
6x - 10 < 6 Add 10 on both sides
6x - 10 + 10 < 6 + 10
6x < 16 Divide 6 on both sides to get x by itself
Simplify the fraction
So the 1st option
Answer:
2 cm
Step-by-step explanation:
the sum of the two shorter sides must be longer than the third side
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
Answer:
Step-by-step explanation:
Adding two rational numbers results in a positive sum.
My best answer would be D
Hope it helped! Or correct me if I'm wrong.
