Inequality_1 Solve the following inequality: \[ {@p@} \le 0.\]
Write your answer as a logical sequence of inequalities, such as \(5\geq x\) and/or \(x\leq 13\).
Solution : [[input:ans1]] [[validation:ans1]]

]]> To solve the following inequality: \[ {@p@} \le 0.\]

Factorise to give \(({@v - n1@})({@v - n2@}) \le 0.\)

The product will be \(\le 0 \mbox{ if }{@v-n1@} \mbox{ is }\ge 0 \mbox{ and }{@v-n2@}\le0.\)

This solution can be entered as \({@v@}>={@n1@} \mbox{ and } {@v@}<={@n2@}\).

]]> 1 0 0 =n1 and v<=n2; wronganswer1:v>=n1 or v<=n2; wronganswer2:v>n1 and v [[feedback:Result]]

]]> \( {@p@} \le 0, \mbox{ solution is }{@correctanswer@}\) 1 0 0 *10 dot 1 i cos-1 lang [ 0 {"author":[{"firstName":"","lastName":"","institution":"Unknown - Legacy question","year":"2025"}],"language":["en"],"isPartOf":"STACK Library","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans1 algebraic correctanswer 20 1 0 0 solve 1 1 1 1 1 Result 1.0000000 1 1 0 AlgEquiv ans1 correctanswer 0 = 1.0000000 -1 Result-0-T = 0.0000000 -1 Result-0-F 1959651692 1912647767 1656909886 1744235747 756699459 1284696583 1421009564 1877886445 604684630 498035618 1758617402 220913037 1399424942 1744326993 1676753852 1 ans1 correctanswer Result 1.0000000 0.0000000 Result-0-T 2 ans1 wronganswer1 Result 0.0000000 0.0000000 Result-0-F 3 ans1 wronganswer2 Result 0.0000000 0.0000000 Result-0-F