Question

Solve the inequality 5(2x+8)<60

Answer 1

x < 2

Explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Answer 2

`\huge\boxed{\bf\:x < 2}`

Explanation:

`5(2x + 8) < 60`

Multiply 5 by 2x & 8 in the right hand side of the inequality .

`5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\`

Bring 40 to the other side of the inequality .

`10x + 40 < 60\\10x < 60 - 40\\10x < 20`

Bring 10 to the left side of the inequality .

`10x < 20\\x < 20/10\\\boxed{\bf\:x < 2}`

`\rule{150pt}{2pt}`