Question

Solve the inequality :
x-7 ≤ 3x + 1

Answer 1

x ≥ -4

Explanation:

we can solve inequalities in the same way as equations except when multiplying or dividing by a negative; in which case you must reverse the inequality symbol

x - 7 ≤ 3x + 1

we can begin by adding 7 to each side to get:

x ≤ 3x + 8

now subtract 3x from each side to get:

-2x ≤ 8

we have to divide each side by -2 so we must reverse the symbol:

x ≥ -4

Answer 2

See below.

Explanation:

x-7≤3x+1

+7 +7

x≤3x+8

-3x -3x

-2x≤8

/-2 /-2

x≥-4

The inequality symbol reverses when divided/multiplied by a negative term.

-hope it helps