{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Quadratic Inequalities | Algebra | Maths | FuseSchool' data-url='/boclips/videos/625f697f1934ad10198b79b6' data-video-url='/boclips/videos/625f697f1934ad10198b79b6' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nQuadratic Inequalities | Algebra | Maths | FuseSchool\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356011\" href=\"/search?publisher_ids%5B%5D=30356011\"\u003eCurated Video\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eCREDITS Animation \u0026amp; Design: Jean-Pierre Louw - www.behance.net/Appel718 Narration: Lucy Billings Script: Lucy Billings You probably already know that quadratic equations look like this... We can also have quadratic inequalities... We...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eCREDITS Animation \u0026 Design: Jean-Pierre Louw - www.behance.net/Appel718 Narration: Lucy Billings Script: Lucy Billings You probably already know that quadratic equations look like this... We can also have quadratic inequalities... We use inequalities to show us a range of possible values… which actually has many real life uses. For example, I might use them to work out that I need to film a racecar between 10 and 15 seconds after the start of the race. And they’re used throughout finance, such as working out what loan you can afford based on your expenditure. We solve quadratic inequalities in pretty much the same way we solve quadratic equations, but also making use of the graph to help us work out which part we want… let’s have a look at an example. Solve it like you normally would… so factorise, quadratic formula or complete the square. This one factorises. Notice how i’ve changed it to be equals now. Solve each bracket, x equals 3 and x equals negative 2. Sketch what this quadratic looks like… U shaped, crossing the x-axis at -2 and 3. It’s just a rough sketch to help yourself in answering the question, so don’t worry too much about it at all. Because we want where the quadratic is LESS THAN zero. We want this part of the graph - the part that is less than 0 for y but also has the quadratic in. This means the answer is x is greater than or equal to negative 2 but less than or equal to 3. Because we’ve shaded one joined region, the answer is one inequality. It’s this inequality sign because that was in the question. Because we have 2 separate regions shaded, this means we have 2 separate inequality answers. Where x is less than negative 4 And where x is greater than negative 2. Because the question was a “greater than” inequality, that’s what our answers are…No “or equal to” involved. And that’s all there is to solving quadratic inequalities. You just need to do a little sketch of the graph, and work out the values from there. SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun \u0026 easy-to-understand videos in Chemistry, Biology, Physics, Maths \u0026 ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. 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