Question

Solve the inequality for the variable: 2(3c + 15) + 4c > 100

Answer 1

Hello !

Answer:

`\boxed`

Explanation:

We are looking for the values of c that satisfy the following inequality :

`\sf 2(3c + 15) + 4c > 100`

Let's expand the left side of the inequality.

`\sf 2* 3c +2* 15+4c > 100\\6c+30+4c > 100`

Now we will combine like terms :

`\sf 10c+30 > 100`

Let's substract 30 from both sides of the inequality.

`\sf 10c+30-30 > 100-30\\10c > 70`

Finally, let's divide both sides by 10.

10>0 so the inequality remains the same.

`\sf(10c)/(10) > (70)/(10) \\\boxed{\sf c > 7}`

Have a nice day ;)

Answer 2

c > 7

Explanation:

Now we have to,

→ Find the required value of c.

The equation is,

→ 2(3c + 15) + 4c > 100

Then the value of c will be,

→ 2(3c + 15) + 4c > 100

Applying Distributive property:

→ 2(3c) + 2(15) + 4c > 100

→ 6c + 30 + 4c > 100

Combining the like terms:

→ 10c + 30 > 100

→ 10c > 100 - 30

→ 10c > 70

Dividing the value 70 with 10:

→ c > 70 ÷ 10

→ [ c > 7 ]

Hence, the answer is c > 7.