How do you solve and write the following in interval notation: #x / 2 ≤ -3# AND #x − 5<2#? Algebra Linear Inequalities and Absolute Value Inequality Expressions 1 Answer Azimet Jan 15, 2017 #x in(-infty, -6]# Explanation: #x/2 <= -3 => x <= -6# #x-5 <2 => x < 7# #x <= -6# and #x < 7# means that #x <= -6#. Therefore, #x in(-infty, -6]# Answer link Related questions What are Inequalities? How does a linear inequality different from a linear equation? How do you graph an inequality on a number line? What are the different inequality notations? What is the difference between > and #>=#? What is the difference between set notation and interval notation? How do you graph #t>3# on a number line? What does #[3, oo)# mean? How do you graph #x \le 8#? How do you write #x > -17# as a set notation and interval notation? See all questions in Inequality Expressions Impact of this question 2003 views around the world You can reuse this answer Creative Commons License