Question

Four times a number is less than or equal to half the sum of a number and -2

Answer 1

Let x be the unknown number.

1. Four times a number x is 4·x=4x;
2. Half the sum of a number x and -2 is
   `(x+(-2))/(2)=(x-2)/(2).`

Then the inequality will have form:

`4x\le (x-2)/(2).`

Solve it. First, multiply this inequality by 2:

`2\cdot 4x\le 2\cdot (x-2)/(2),\\ \\8x\le x-2.`

Then separate terms with x in left side and without x in right side:

`8x-x\le -2,\\ \\7x\le -2.`

and divide it by 7:

`x\le -(2)/(7).`

Answer:
`x\le -(2)/(7).`