Use an inequality to solve the problem. Be sure to show the inequality and all of your work.

One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 29 cm?

Question

Use an inequality to solve the problem. Be sure to show the inequality and all of your work.

One side of a triangle is 4 cm shorter than the base, x. The other side is 6 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 29 cm?

callisto · Answer

The 3 sides are x, x-4, and x+6
Perimeter = x + (x-4) + (x+6) = 3x +2
Perimeter of the triangle to be at least 29 cm
$$ perimeter \ge 29$$$$ 3x +2 \ge 29$$
Can you solve it from here?