Question

Is x=2 a solution of the inequality 7+3x ≤7x-2

Answer 1

No. See below for explanation.

Explanation:

`7+3x\leq 7x-2` plug the value of x into the inequality

`7+3(2)\leq 7(2)-2` Multiply 3 and 2

`7+6\leq 7(2)-2` Multiply 7 and 2

`7+6\leq 14-2` Add 7 and 6

`13\leq 14-2` Subtract 14 - 2

`13\leq 12` This inequality is not true. 13 is greater than 12, not equal to or less than.

The value of X cannot be 2, because the inequality (worked out above) is not true when x=2. Since the inequality is not true, 2 cannot be the value of x.

Answer 2

No.

Explanation:

`7+3x \leq 7x-2`

Begin by substituting in x = 2:

`7+3(2) \leq 7(2)-2\\`

Simplify:

`7 + 6 \leq 14 - 2\\`

Simplify:

`13 \leq 12` is false

so NO, x = 2 is not a solution.