Solve the problem.
-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 44 cm?

Question

Solve the problem.
-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 44 cm? 
A) $x \geq 14$
B) $0 < x \leq 14$
C) $x \leq 20$
D) $x > 10$

Quizplus · Accepted Answer

The perimeter P of the triangle is given by $P = x + (x - 4) + (x + 6)$. Simplifying, we get $P = 3x + 2$. For the perimeter to be at least 44 cm, we set up the inequality $3x + 2 \geq 44$, solving for x gives $x \geq 14$.

Solve the Problem x≥14x \geq 14x≥14 B) 0<x≤140 < x \leq 140<x≤14

Solve the Problem $x \geq 14$ B) $0 < x \leq 14$