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Alexxx [7]
3 years ago
11

Find the solution set of the inequality

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

<u>Answer:</u>

\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.

<u>Step-by-step explanation:</u>

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

  • -4x + 35 >2

\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}

<h3><u>★</u><u> </u><u>Hence </u><u>the </u><u>solution</u><u> </u><u>set </u><u>is </u><u>x </u><u>€</u><u> </u><u>(</u><u> </u><u>3</u><u>3</u><u>/</u><u>4</u><u> </u><u>,</u><u> </u><u>∞</u><u> </u><u>)</u><u>.</u></h3>
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Step-by-step explanation:

2y+49 + 8y+71 = 180 (Then solve)

5x+44 + 3x+16 = 180 (Then solve)

6 0
4 years ago
Solve the system using any method.<br> y = 3x + 2<br> y = 7x - 10
Marysya12 [62]

Answer:

x=3

y=11

Step-by-step explanation:

y = 3x + 2   equation 1

y = 7x - 10   equation 2

using equation 1 in equation 2 we have:

3x + 2   = 7x - 10

2=7x - 3x -10

2 = 4x -10

2+10 = 4x

12= 4x

12/4 = x

we have:

x= 3

using equation 1:

y = 3x + 2

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y=9+2

y=11

4 0
3 years ago
Find the sum of 12a + 7b, −6a − 9, and 14a − 12b.
VARVARA [1.3K]

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Step-by-step explanation:

4 0
4 years ago
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Find the area of the figure
yaroslaw [1]

Answer:

Step-by-step explanation:

Just add it

8 0
3 years ago
Luke buys 4 bolts and 6 washers for $2.20 and Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store. Dete
blondinia [14]

Answer:

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

Step-by-step explanation:

Let us represent:

Cost of bolts = x

Cost of washers = y

Luke buys 4 bolts and 6 washers for $2.20

Hence:

4x + 6y = 2.20....Equation 1

Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.

3x + 5y = 1.80....Equation 2

Combining both Equations

4x + 6y = 2.20....Equation 1

3x + 5y = 1.80....Equation 2

Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x

12x + 18x = 6.6.....Equation 4

12x + 20x = 7.2.......Equation 5

Substract Equation 4 from 5

= 2x = 0.6

x = 0.6/2

x = $0.3

Solving for y

4x + 6y = 2.20....Equation 1

4 × 0.3 + 6y = 2.2

1.2 + 6y = 2.2

6y = 2.2 - 1.2

6y = 1.0

y = 1.0/6

y = $0.167

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

8 0
3 years ago
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