{ "query": { "display": "$$3x+7>19$$", "symbolab_question": "EQUATION#3x+7>19" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Inequalities", "subTopic": "Linear", "default": "x>4", "interval": "(4,\\infty )", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$3x+7>19{\\quad:\\quad}x>4$$", "input": "3x+7>19", "steps": [ { "type": "interim", "title": "Move $$7\\:$$to the right side", "input": "3x+7>19", "result": "3x>12", "steps": [ { "type": "step", "primary": "Subtract $$7$$ from both sides", "result": "3x+7-7>19-7" }, { "type": "step", "primary": "Simplify", "result": "3x>12" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Divide both sides by $$3$$", "input": "3x>12", "result": "x>4", "steps": [ { "type": "step", "primary": "Divide both sides by $$3$$", "result": "\\frac{3x}{3}>\\frac{12}{3}" }, { "type": "step", "primary": "Simplify", "result": "x>4" } ], "meta": { "interimType": "Divide Both Sides Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7aE3RLT7qr2LlKc/ODQiVwJN1pXT08zEQpn0WJ6CFMXBgNJ67EOD8lvNAD3ifVxEoJI4KD5IMC4UmvgwFppsKgtB2ct6Mq572N65ydFEYReuJzb4WJ2gItQG093k/9yqQn0DOUCKhNs+Rsl0Db7zAulfzP/6fFH3iJVf66NxlXHsCkt0Xec139m9vb1dcIGCE9/ywNkkmqjhpUPLUR+wU1U8YrmSRejouV6cFhNwTUMDU3KAY4kDHilM6r45aMYmhRT6FvIpi+SIc8+o3gR8t1Ytduin5SBlz49E+ukld6ZgCJ1lQ1FAwVjR6mDWtuTH5DgDlk1i/4yAtEn/PcFV4wKN6Hv6MoTMtvtU0IQwXdn8Ime+VHyE1xbRKHrZpOGTAACfgGooEgVHciRuYIAD+BiS3daIZHtloJpe/PvtsyNI=" } } ], "meta": { "solvingClass": "Inequalities", "practiceLink": "/practice/inequalities-practice#area=main&subtopic=Linear", "practiceTopic": "Linear Inequalities" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "funcsToDraw": { "funcs": [ { "evalFormula": "x=4", "displayFormula": "x=4", "attributes": { "color": "GRAY", "lineType": "DASH", "isAsymptote": false } } ] }, "fills": [ { "ranges": [ { "fst": "4.0", "snd": "Infinity" } ], "funcIndices": [], "funcs": [], "xIneq": true, "yIneq": false, "twoVar": false, "trueAboveLine": false, "color": "rgba(171, 181, 235, 0.3)" } ], "functionChanges": [ { "origFormulaLatex": [], "finalFormulaLatex": [], "plotTitle": "x>4", "paramsLatex": [], "paramsReplacementsLatex": [] } ], "localBoundingBox": { "xMin": -0.8571428571428571, "xMax": 6, "yMin": -2, "yMax": 8 }, "intervals": [ { "mind": 4, "minInclusive": false, "maxInclusive": false, "maxFinite": false, "minFinite": true, "isAllR": false, "isPoint": false } ], "imageAPI": "x>4" }, "showViewLarger": true } }, "meta": { "showVerify": true } }