Graph and write interval notation.
-$x \geq 2$ and $x \geq - 3$

A) $[ 2 , \infty )$
B) $( - \infty , - 3 ]$
C) $( - \infty , 2 ]$
D) $( 2 , \infty )$

Question

Graph and write interval notation.
-$x \geq 2$ and $x \geq - 3$

A) $[ 2 , \infty )$ 
B) $( - \infty , - 3 ]$ 
C) $( - \infty , 2 ]$ 
D) $( 2 , \infty )$

Quizplus · Accepted Answer

The solution for the inequality is the intersection (overlap) of the solutions for each separate inequality. In this case, both inequalities have a common solution for $x \geq 2$. Therefore, the solution is all values of x greater than or equal to 2, which is represented by the interval notation $[2, \infty)$.

Graph and Write Interval Notation x≥2x \geq 2x≥2 And x≥−3x \geq - 3x≥−3

Graph and Write Interval Notation $x \geq 2$ And $x \geq - 3$