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2 years ago

The range of all real numbers x such that 2x − 5 < 7 OR 4x + 10 > 6 is___

1 answer:

4 0

First, simplify the two inequalities.

2x - 5 < 7
2x < 12 <-- Add 5 to each side
x < 6 <-- Divide both sides by 2

4x + 10 > 6
4x > -4 <-- Subtract both sides by 10
x > -1 <-- Divide both sides 4

Now we have the compound inequality x < 6 OR x > -1

To fulfill the first inequality, x has to be less 6. For the second inequality, x has to bigger than -1.

So, the answer is B. (-infinity, infinity).

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2 years ago

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Answer:

He ate $\frac{1}{20}$ of the original pizza for dinner

Step-by-step explanation:

- Lucas divides his pizza into three equal pieces for himself and his two

friends

∵ There are 1 pizza

∵ It is divided into 3 equal parts

∴ Each part is $\frac{1}{3}$

∴ Teddy takes $\frac{1}{3}$ of the pizza

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∵ His piece is $\frac{1}{3}$

∵ He eats $\frac{5}{8}$ of his piece for lunch

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- Make L.C.M for the denominators

∵ The L.C.M of 3 and 24 is 24

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∴ The remaining = $\frac{8}{24}$ - $\frac{5}{24}$

∴ The remaining = $\frac{3}{24}$ = $\frac{1}{8}$

∵ He ate $\frac{2}{5}$ of the remaining for dinner

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2 years ago

Drag a symbol to the first box and a number to the second box to complete the solution to this inequality. Each number or symbol

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Answer:

$z$

Step-by-step explanation:

Given the inequality: $-2(z + 5) + 20 > 6$

Step 1: Distribute the bracket

$-2(z + 5) + 20 > 6\\-2z-10+20>6\\-2z+10>6$

Step 2: Subtract 10 from both sides

$-2z+10-10>6-10\\-2z>-4$

Step 3: Divide both sides by -2

Note that when you divide an inequality by a negative sign, the inequality sign is reversed.

$-2z>-4\\\dfrac{-2z}{-2}< \dfrac{-4}{-2}\\\\$Therefore, $z$

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2 years ago

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Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

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The equation to represent the costs would be the same is given by :_

$C(x)=c(x)\\\Rightarrow50x+250=75x+100$

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Step-by-step explanation:

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