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Sati [7]
3 years ago
14

Solve the inequality4(x + 3) - 7 > x + 3(x + 1)​

Mathematics
2 answers:
ladessa [460]3 years ago
8 0

Answer:

All real numbers are solutions

Step-by-step explanation:

4(x+3)−7>x+3(x+1)

Step 1: Simplify both sides of the inequality.

4x+5>4x+3

Step 2: Subtract 4x from both sides.

4x+5−4x>4x+3−4x

5>3

Step 3: Subtract 5 from both sides.

5−5>3−5

0>−2

zubka84 [21]3 years ago
7 0

Explanation

Step 1: Simplify both sides of the inequality.

4x+5-4x>4x + 3, - 4x

Step 2: Subtract 4x from both sides.

4x+5-4x>4x+3-4x

5>3

Step 3: Subtract 5 from both sides.

5 - 5 > 3 - 5

0> -2

Answer:

All real numbers are solutions.

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3 years ago
Which point would be a solution to the system of linear inequalities ?
brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

y\geq -\frac{5}{2}x+5 ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

-1\leq \frac{4}{3}(0)+5

-1\leq5 ----> is true

Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

3\leq5 ----> is true

Inequality B

3\geq -\frac{5}{2}(0)+5

3\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

-6\leq \frac{4}{3}(-6)+5

-6\leq-3 ----> is true

Inequality B

-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

-6\leq \frac{4}{3}(12)+5

-6\leq21 ----> is true

Inequality B

-6\geq -\frac{5}{2}(12)+5

-6\geq -25 ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0
3 years ago
Does anyone know the answer to number 37?
kotegsom [21]

Answer: 37)  170

Step-by-step explanation:

85 - (-85) = 85 + 85 = 170

\textit{\textbf{Spymore}}

7 0
3 years ago
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