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never [62]
3 years ago
8

List the integers that satisfy both these inequality. 2x+9<0 x>-12

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

<u>Given:</u>

  • 2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5
  • x > -12

<u>Combined we have:</u>

  • -12 < x < - 4.5

<u>The integers in the same interval are:</u>

  • x ∈ {-11, -10, -9, -8, -7, -6, -5}
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Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7
zlopas [31]

The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.

"number line with a closed circle plotted at negative eight and arrow pointing left."

<h3>How to solve the inequality?</h3>

Here we have the inequality:

-0.8*b + 2.3  ≥ 8.7

And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.

-0.8*b + 2.3  ≥ 8.7

2.3 - 8.7 ≥ 0.8*b

-6.4  ≥ 0.8*b

-6.4/0.8  ≥ b

-8 ≥ b

So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.

Learn more about inequalities:

brainly.com/question/24372553

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5 0
1 year ago
Which equation matches the graph?<br> PLEASE HELP MEEEE
Rama09 [41]

Answer: Y = 3x - 2

Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2

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8 0
3 years ago
Multiply out and simplify to obtain a minimum sum-of-products boolean expression:
max2010maxim [7]

Answer:

As per the question, we need to convert product of sum into sum of product,

Given:

(A' +B+C')(A'+C'+D)(B'+D'),

At first, we will solve to parenthesis,

= (A'+C'+BD) (B'+D')

As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,

(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)

Now,  

= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"

As we know that AA' =  0, it mean

=A'B'+A'D'+C'B'+C'D'+D*0+B0

=A'B'+A'D'+C'B'+C'D'               as B * 0 and D*0 = 0

Finally, minimum sum of product boolean expression is

A''B'+A'D'+C'B'+C'D'

=

5 0
3 years ago
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