solve the inequality. write the solution set in interval notation. x^2 is less than or equal to 25

X^2 less than or equal to 25, X is less than or equal to + 5. (5)^2 = 25, and (-5)^2 = 25, so the solution is any value of x between, and including, 5, -5. If you were to plot this on a number line, you would have a "solid" or "bubbled in" circle on -5 and +5 and a line between them. The interval notation would be [-5,5]... since you are including both 5 and -5 in the solution, you have to use brackets, not parenthesis.

The reason you INCLUDE -5 and 5 is because the equation says "less than OR equal to" the phrase "equal to" indicates that you include both numbers in the solution.