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mr_godi [17]
3 years ago
7

Solve the inequality 3y <= 2y + 3

Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

y\leq 3

All real numbers less than or equal to 3

Step-by-step explanation:

we have

3y\leq 2y+3

Solve for y

Subtract 2y both sides

3y-2y\leq 2y+3-2y

y\leq 3

The solution is the interval ------> (-∞,3]

All real numbers less than or equal to 3

In a number line the solution is the shaded area down of y=3 (close circle)

see the attached figure

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Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr
amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0
2 years ago
A cheerleading team plans to sell t-shirts as a fundraiser. the teams goal is to make profit of at least $1248. the profit on ea
Lemur [1.5K]

The minimum number of shirt they will sell to make the given profit is 192 shirts

<h3>Inequality expression</h3>

Inequalities are equations not separated by an equal sign.

If a cheerleading team plans to sell t-shirts as a fundraiser and the teams goal is to make profit of at least $1248 with each t-shirt sold at $6.50, then the equation required is;

6.50t ≥ 1246

Divide both sides by 6.50

6.50t/6.50 ≥1246/6.5

t ≥ 192

Hence the minimum number of shirt they will sell to make the given profit is 192 shirts

Learn more on inequality here: brainly.com/question/11613554

#SPJ1

8 0
1 year ago
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