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Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
x < -6
Step-by-step explanation:
X/4 < -1.5
Multiply each side by 4
X/4*4 < -1.5*4
x < -6
Answer:
It's 6.
Step-by-step explanation:
this was so confusing
Answer:
7x - 3)
Step-by-step explanation:
Given
3x - 7 + 2(2x - 7) ← distribute parenthesis
= 3x - 7 + 4x - 14 ← collect like terms
= 7x - 21 ← factor out 7 from each term
= 7(x - 3)
