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makvit [3.9K]
3 years ago
6

−6x+14<−28 OR 9x+15≤−12

Mathematics
2 answers:
Serhud [2]3 years ago
6 0

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

nadezda [96]3 years ago
3 0

Answer:

x> 7 OR x ≤−3

Step-by-step explanation:

−6x+14<−28 OR 9x+15≤−12

Solve them separately and then put back together

−6x+14<−28

Subtract 14 from each side

-6x +14-14 <-28-14

-6x <-42

Divide each side by -6, remembering to flip the inequality

-6x/-6 > -42/-6

x> 7

9x+15≤−12

Subtract 15 from each side

9x +15-15 ≤−12 -15

9x ≤−27

Divide each side by 9

9x/9 ≤−27/9

x ≤−3

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The options aren't given, however, the range of amount spent could be calculated

Answer:

Kindly check explanation

Step-by-step explanation:

Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd

Given that :

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