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lbvjy [14]
2 years ago
12

Solve the inequality 5x+2 < 32

Mathematics
2 answers:
AnnyKZ [126]2 years ago
8 0

Answer:

x<6

Step-by-step explanation:

First, let's work on the left hand side of your inequality, the 5x+2

This means, for instance, to see if it can be simplified at all.

Multiply x and 5

Multiply x and 1

The x just gets copied along.

The answer is x

x

5*x evaluates to 5x

5*x+2 evaluates to 5x+2

So, all-in-all, the left hand side of your inequality can be written as: 5x+2

Now, let's work on the right hand side of your inequality, the 32

The right hand side of your inequality can be written as: 32

So with these (any) simplifications, the inequality we'll set out to solve is:

5x+2 ‹ 32

Move the 2 to the right hand side by subtracting 2 from both sides, like this:

From the left hand side:

2 - 2 = 0

The answer is 5x

From the right hand side:

32 - 2 = 30

The answer is 30

Now, the inequality reads:

5x ‹ 30

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)

around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x

30 ÷ 5 = 6

The solution to your inequality is:

x ‹ 6

zzz [600]2 years ago
3 0

Answer:

x=6

Take 2 to the other side, the sign becomes negative. You're then left with 5x is less than 30. After that just divide both sides with 5 so that you're left with x.

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3 years ago
Read 2 more answers
Can u guys help me with this problem
netineya [11]

Answer:

-0.7 or -\frac{7}{10}

Step-by-step explanation:

-0.75-(-\frac{2}{5})+0.4+(-\frac{3}{4})

The opposite of -\frac{2}{5} is \frac{2}{5}

-0.75 + \frac{2}{5} +0.4 - \frac{3}{4}

Convert decimal number −0.75 to fraction -\frac{75}{100}.

​Reduce the fraction-\frac{75}{100} to lowest terms by extracting and canceling out 25.

-\frac{3}{4} + \frac{2}{5}+0.4-\frac{3}{4}

Least common multiple of 4 and 5 is 20. Convert -\frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

-\frac{15}{20}+ \frac{8}{20} +0.4 - \frac{3}{4}

Since -\frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

\frac{-15 +8}{20} +0.4-\frac{3}{4}

Add -15 and 8 to get -7

-\frac{7}{20}+0.4-\frac{3}{4}

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

-\frac{7}{20}+\frac{2}{5}-\frac{3}{4}

Least common multiple of 20 and 5 is 20. Convert -\frac{7}{20} and \frac{2}{5} to fractions with denominator 20.

-\frac{7}{20}+\frac{8}{20}-\frac{3}{4}

Since -\frac{7}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

20-7+8-\frac{3}{4}

Add -7 and 8 to get 1.

\frac{1}{20}-\frac{3}{4}

Least common multiple of 20 and 4 is 20. Convert \frac{1}{20} and \frac{3}{4} to fractions with denominator 20.

\frac{1}{20}-\frac{15}{20}

Since \frac{1}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

\frac{1}{20}-15

Subtract 15 from 1 to get -14.

20-14

Reduce the fraction -\frac{14}{20} to lowest terms by extracting and canceling out 2.

-\frac{7}{10} or -0.7

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

8 0
2 years ago
Will mark u as BRAINLIEST plz help
ale4655 [162]

Answer:

Im not sure

Step-by-step explanation:

this is kinda hard

4 0
3 years ago
Tile costs $28 per square meter. how much will it cost to cover the counter top with new tile?( 4.36 square meters)
marta [7]
Tile costs $28 per square meter. how much will it cost to cover the counter top with new tile?( 4.36 square meters)

28 x 4.36 = $122.08
5 0
3 years ago
One number is five more than a second number. The product of the numbers is 3,300. Find the two numbers
krek1111 [17]
A = b+5
ab = 3300
(b+5)b = 3300
b² +5b -3300 = 0  (quadratic formula)
b=55
a=60      (by first relation)
7 0
3 years ago
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