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3 years ago

Solve the inequality. |3m – 2| ≥ 1 m ≤ –1 or m ≥ 1

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

Answer:

m《⅓ or m ≥ 1

Step-by-step explanation:

|3m – 2| ≥ 1

3m - 2 ≥ 1

3m ≥ 3

m ≥ 1

-(3m - 2) ≥ 1

-3m + 2 ≥ 1

3m《1

m《⅓

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Step-by-step explanation:

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almond37 [142]

Answer:

$\large\boxed{C.\ y=2+x^4}$

Step-by-step explanation:

The slope-intercept form of an equation of linear function:

$y=mx+b$

<em>m</em> - slope

<em>b</em> - y-intercept

============================

$A.\\\\9y+3=0\qquad\text{subtract 3 from both sides}\\\\9y=-3\qquad\text{divide both sides by 9}\\\\y=-\dfrac{3}{9}\\\\y=-\dfrac{1}{3}\to m=0,\ b=-\dfrac{1}{3}$

$B.\\\\y-4x=1\qquad\text{add}\ 4x\ \text{to both sides}\\\\y=4x+1\to m=4,\ b=1$

$C.\\\\y=2+x^4\qquad\text{nonlinear, because}\ x\ \text{is in fourth power}$

$D.\\\\x-2y=7\qquad\text{subtract}\ x\ \text{from both sides}\\\\-2y=-x+7\qquad\text{divide both sides by (-2)}\\\\y=\dfrac{1}{2}x-\dfrac{7}{2}\to m=\dfrac{1}{2},\ b=-\dfrac{7}{2}$

$E.\\\\\dfrac{x}{y}+1=2\qquad\text{subtract 1 from both sides}\\\\\dfrac{x}{y}=1\to y=x\to m=1,\ b=0$

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3 years ago