## College Algebra (6th Edition) 1. The inequality sign is $\geq$, so we draw a solid border 2. The border, $y=x^{2}-1$ is a parabola , obtained from $y=x^{2}$ by shifting down 1 unit, vertex: $(0,-1),$ opens up, x-intercepts: $0=x^{2}-1$ $0=(x+1)(x-1)$ x-intercepts:$\pm 1$ Additional points : $(\pm 2,3)$ 3. Test the point $(0,0)$ $0 \geq 0^{2}-1\quad ?$ $0 \geq -1\quad ?$ Yes 4. Shade the region that the origin belongs to.
{"ft_lang_label":"__label__en","ft_lang_prob":0.65458465,"math_prob":1.0000086,"size":440,"snap":"2019-43-2019-47","text_gpt3_token_len":169,"char_repetition_ratio":0.10091743,"word_repetition_ratio":0.0,"special_character_ratio":0.425,"punctuation_ratio":0.1875,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9994809,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-11-21T16:24:42Z\",\"WARC-Record-ID\":\"<urn:uuid:8a4a15ef-d9ce-4356-a7ef-9a8ef7aa1dd4>\",\"Content-Length\":\"75220\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f8df78eb-f21b-49a4-bf59-57ce170c54cc>\",\"WARC-Concurrent-To\":\"<urn:uuid:25ba3e9d-1f20-4282-b295-522baa23c63c>\",\"WARC-IP-Address\":\"54.82.171.166\",\"WARC-Target-URI\":\"https://www.gradesaver.com/textbooks/math/algebra/college-algebra-6th-edition/chapter-5-systems-of-equations-and-inequalities-exercise-set-5-5-page-571/22\",\"WARC-Payload-Digest\":\"sha1:QWYLTKWP4VLEJI3EMWVJBJBMUFZ7ZJVF\",\"WARC-Block-Digest\":\"sha1:DEF3Z5OJ4Q25K54WAQ4DUDH7R4KVR7VM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-47/CC-MAIN-2019-47_segments_1573496670921.20_warc_CC-MAIN-20191121153204-20191121181204-00081.warc.gz\"}"}