3 years ago

Solve the following inequality 3X+5<6x-1

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

x>2

Step-by-step explanation:

3x + 5 < 6x -1

subtract 6x on both sides

3x - 6x + 5 < -1

subtract 5 on both sides

-3x < -1 -5

-3x < -6

divide -3 on both sides

x > 2

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Help with this question ASAP!!!

Wewaii [24]

Answer:

$\large\boxed{D\left(0,\ -\dfrac{20}{3}\right),\ \dfrac{2}{3}}$

Step-by-step explanation:

$\triangle FOD\sim\triangle HOG,\ \text{therefore the sides are in proportion:}\\\\\dfrac{OF}{OD}=\dfrac{OH}{OG}\\\\\text{We have}\\\\OF=4,\ \ OH=6,\ OG=10\\\\\text{Substitute:}\\\\\dfrac{4}{OD}=\dfrac{6}{10}\qquad\text{cross multiply}\\\\6OD=(4)(10)\\\\6OD=40\qquad\text{divide both sides by 6}\\\\OD=\dfrac{40}{6}\\\\OD=\dfrac{20}{3}\\\\\text{Therefore}\ D\left(0,\ -\dfrac{20}{3}\right).\\\\\text{The scale factor:}\ \dfrac{OF}{OH}=\dfrac{4}{6}=\dfrac{2}{3}$