Solve the compound inequality 10 + x < 20 and 4x > -24

Mathematics

1 answer:

kotykmax [81]3 years ago

6 0

Answer:

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 <u>4x</u>≥<u>-24</u>

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

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denis23 [38]

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Since the minimum and maximum values of P are -1200 and 12000, then the range of P would be {-1200 ≤ p ≤ 12000}.

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3 years ago

Emma is building a wall around her garden. It has taken 45 minutes,and she is 75% done. What is the total time it will take Emma

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Hey there,
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3 years ago

Read 2 more answers

What is the Value of x+y ? PLZ Help ASAP

Natalija [7]

ANSWER

$x + y = 60$

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

$3x + 55 = 85$

This implies that,

$3x = 85 - 55$

We simplify to get,

$3x = 30$

Dividing through by 3 gives,

$x = 10$

Also,

$2y - 5 = 95$

This implies that,

$2x = 95 + 5$

We simplify the right hand side to get,

$2x = 100$

We divide both sides both sides by 2 to get,

$x = 50$

$x + y = 50 + 10$

$x + y = 60$

Method 2

Angles on straight line sums to 180°.

$2y-5+85=180$

This implies that,

$2y+80=180$

$2y=180-80$

$2y=100$

$y=50$

Also,

$3x+55+95=180$

$3x+150=180$

$3x=180-150$

$3x=30$

$x=10$

$x+y=50+10$

$x+y=60$