Question

Solve the inequality and show the answer on a number line: 5(x + 4) < 10​

Answer 1

Answer:

Given,

2

x

≥

3

(5x−2)

−

5

(7x−3)

⇒

2

x

≥

15

5(5x−2)−3(7x−3)

⇒

2

x

≥

15

25x−10−21x+9

⇒

2

x

≥

15

4x−1

⇒15x≥2(4x−1)

⇒15x≥8x−2

⇒7x≥−2

⇒x≥−

7

2

Answer 2

Answer:

Given,

2

x

≥

3

(5x−2)

−

5

(7x−3)

⇒

2

x

≥

15

5(5x−2)−3(7x−3)

⇒

2

x

≥

15

25x−10−21x+9

⇒

2

x

≥

15

4x−1

⇒15x≥2(4x−1)

⇒15x≥8x−2

⇒7x≥−2

⇒x≥−

7

2

Step-by-step explanation:

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