# How do you solve abs(x+4)>2?

Apr 28, 2017

$| a + b | \setminus > c$
Solving for either $a$ or $b$ as following:

• $a + b \setminus < - c$
• $a + b \setminus > c$

Now applying this to the equation you are given...
$| x + 4 | \setminus > 2$

• $x + 4 \setminus > 2$
• $x + 4 \setminus < - 2$

Simplifying...

• $x \setminus > - 2$
• $x \setminus < - 6$
{"ft_lang_label":"__label__en","ft_lang_prob":0.6085036,"math_prob":0.9999206,"size":367,"snap":"2020-10-2020-16","text_gpt3_token_len":118,"char_repetition_ratio":0.1046832,"word_repetition_ratio":0.0,"special_character_ratio":0.3133515,"punctuation_ratio":0.101265825,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999956,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-03-29T15:12:22Z\",\"WARC-Record-ID\":\"<urn:uuid:706d9532-a526-42b0-b5d2-06df1023a47e>\",\"Content-Length\":\"33058\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c2779ca6-ae5f-4b90-9843-d4abf542d8b7>\",\"WARC-Concurrent-To\":\"<urn:uuid:caed3314-04c3-4829-969d-f9f0c53c45b3>\",\"WARC-IP-Address\":\"54.221.217.175\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-solve-abs-x-4-2\",\"WARC-Payload-Digest\":\"sha1:WLO5W3RGKNBRJM3PKPM6ZP3GW3K3GJ2A\",\"WARC-Block-Digest\":\"sha1:GV4Q53XAPKOQ22MOZCRFWFWGQILYRWAL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-16/CC-MAIN-2020-16_segments_1585370494349.3_warc_CC-MAIN-20200329140021-20200329170021-00267.warc.gz\"}"}