Answer and Step-by-step explanation:
How do you solve the inequality |2x-1|<=x+1?
|2x−1|≤x+1
means that
2x−1≤x+1
and
−(x+1)≤2x−1.
Solve the first inequality
by subtracting
x−1
from both sides:
2x−1−(x−1)≤x+1−(x−1)
⟹2x−1−x+1≤x+1−x+1
⟹x≤2.
Solve the second inequality
−(x+1)≤2x−1
by first adding
x+1
to both sides and getting
−(x+1)+x+1≤2x−1+x+1
⟹−x−1+x+1≤3x
⟹0≤3x.
Then divide by
3
to get
03≤3x3
⟹0≤x.
Combine the two results and get the answer to the given inequality
0≤x≤2.
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Answer:
0_×_2
Step-by-step explanation:
YAN LANG PO WELCOME THANKYOU SA POINTS
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Answers & Comments
Answer and Step-by-step explanation:
How do you solve the inequality |2x-1|<=x+1?
|2x−1|≤x+1
means that
2x−1≤x+1
and
−(x+1)≤2x−1.
Solve the first inequality
2x−1≤x+1
by subtracting
x−1
from both sides:
2x−1−(x−1)≤x+1−(x−1)
⟹2x−1−x+1≤x+1−x+1
⟹x≤2.
Solve the second inequality
−(x+1)≤2x−1
by first adding
x+1
to both sides and getting
−(x+1)+x+1≤2x−1+x+1
⟹−x−1+x+1≤3x
⟹0≤3x.
Then divide by
3
to get
03≤3x3
⟹0≤x.
Combine the two results and get the answer to the given inequality
0≤x≤2.
#IHOPEITHELPS
#CARRYONLEARNING
#BRAINLIEST
Heart this if i help you
Answer:
0_×_2
Step-by-step explanation:
YAN LANG PO WELCOME THANKYOU SA POINTS