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emmasim [6.3K]
2 years ago
5

State all integer values of x in the interval (-2,5) that satisfy the following

Mathematics
1 answer:
dimaraw [331]2 years ago
5 0

Answer:

The only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1

Step-by-step explanation:

Given the inequality

  • -4x – 1 > 1
  • interval = (-2,5)

The integer values lie in the interval (-2, 5) = -1, 0, 1, 2, 3, 4

Let us substitute all the integer values lie in the interval

substitute x = -1

-4x – 1 > 1

-4(-1) - 1 > 1

4 - 1 > 1

3 > 1

TRUE

substitute x = 0

-4x – 1 > 1

-4(0) - 1 > 1

0 - 1 > 1

-1 > 1

FALSE

substitute x = 1

-4x – 1 > 1

-4(1) - 1 > 1

-4 - 1 > 1

-5 > 1

FALSE

substitute x = 2

-4x – 1 > 1

-4(2) - 1 > 1

-8 - 1 > 1

-7 > 1

FALSE

substitute x = 3

-4x – 1 > 1

-4(3) - 1 > 1

-12 - 1 > 1

-13 > 1

FALSE

substitute x = 4

-4x – 1 > 1

-4(4) - 1 > 1

-16 - 1 > 1

-17 > 1

FALSE

Therefore, the only value in the interval (-2, 5) which satisfies the inequality is:

  • x = -1
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Answer:

2x - 5 if x ≤ 2

f(-1) = -7

Step-by-step explanation:

x ≤ 2 = (-1) ≤ 2

x > 2 = (-1) > 2

2x - 5

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8 0
3 years ago
I WILL GIVE YOU BRAINLIST IF YOU ARE CORRECT! THIS IS FOR 30 POINTS!
Maksim231197 [3]

Answer:If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Step-by-step explanation:

Explanation:

Let the number of tiles be

x

At the first shop: Cost =

$

0.79

×

x

+

$

24

=

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x

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×

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=

1.19

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If the cost is the same:

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x

=

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+

24

   

←

solve for x

1.19

x

−

0.79

x

=

24

0.4

x

=

24

x

=

24

0.4

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=

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tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

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3 years ago
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Step-by-step explanation:

When it is 30 % empty it means it is 70% full

0.7x=0.3x+30

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