Name: Linear inequalities: solution walkthrough
Uploaded: 2026-11-13
Duration: 1 min 53 s
Description: Which of the following inequalities describes all values of x for which 5 - 2x ≤ 13? Try it, then watch the animated solution.

Solve it like an equation: get

x

alone. First subtract

5

from both sides:

{-2x} \le 8

.

Dividing by a negative reverses the order.

2 < 4

, but divide both by

{-1}

and

{-2} > {-4}

.

Divide both sides by

{-2}

and flip the sign:

x \ge {-4}

.

Test a value on each side.

x = 0

:

5 \le 13

, true.

x = {-6}

:

5 + 12 = 17 \le 13

, false.

Traps:

x \le {-4}

forgets the flip,

x \le 4

divides by

2

instead of

{-2}

,

x \ge {-9}

adds

5

.

Try it first