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2 years ago

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

Mathematics

1 answer:

N76 [4]2 years ago

8 0

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

$x-7>1\\\\x-7+7>1+7\\\\x>8$

and we have

$x-7$

to graph it it goes from (-∞,6)∪(8,∞)

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Use the distributive property to simplify this expression: 0.1(2x+3)

soldi70 [24.7K]

$\huge\text{Answer:}$

$\huge\mathrm{0.2x+0.3}\checkmark$

$\huge\text{Solution:}$

Hi there, hope you are having a great day! :)

<em /> $\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}$

The Distributive Property is a property which states that

$\longmapsto\sf{a(b+c)=ab+ac$

Now, let's apply this property:

$\longmapsto\sf{0.1(2x+3)$

$\longmapsto\sf{0.2x+0.3}$ (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

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