s).","points":1},{"id":"ea5d2de7-2223-461d-8094-00b86a2132e6","cardType":"basic","front":"What is the difference between the symbols $<$ and $\\le$ in terms of the end value?","back":"

$<$ excludes the end value.
$\\le$ includes the end value.

","points":2},{"id":"8a1dabe7-7457-4504-a874-7f635041a1e7","cardType":"cloze","front":"On a number line, an [ ] means the value is not included ($<$ or $>$), while a solid circle means the value is included ($\\le$ or $\\ge$).","back":"On a number line, an open circle means the value is not included ($<$ or $>$), while a solid circle means the value is included ($\\le$ or $\\ge$).","points":null},{"id":"a928c678-6d15-4010-a1bc-b18d6bd64900","cardType":"cloze","front":"On a number line, an open circle means the value is not included ($<$ or $>$), while a [ ] means the value is included ($\\le$ or $\\ge$).","back":"On a number line, an open circle means the value is not included ($<$ or $>$), while a solid circle means the value is included ($\\le$ or $\\ge$).","points":null},{"id":"a044c7cd-3c6e-48a7-b0c9-5503fd9612c9","cardType":"basic","front":"List the integers that satisfy $-4 < n \\le 2$.","back":"$$-3, -2, -1, 0, 1, 2$","points":2},{"id":"0673179a-b4e4-474d-a8b1-b4a8a6d733a0","cardType":"basic","front":"What does an arrow pointing left from a circle on a number line represent?","back":"Values less than the circle's value.","points":1},{"id":"540c934e-5458-48a4-a2ba-05bfe06dae7e","cardType":"basic","front":"What does a thick line between two circles on a number line represent?","back":"All values between the two endpoints are allowed.","points":1},{"id":"09c2526b-ff57-469c-a08d-d6b8b3fe3982","cardType":"basic","front":"Describe the circles and line needed to show $-2 \\le x < 3$ on a number line.","back":"

Solid circle at -2.
Open circle at 3.
Thick line connecting them.

","points":3},{"id":"bf020941-9fb7-4776-b0e2-caab9701fc6b","cardType":"basic","front":"Write the inequality for $x$ shown by an open circle at 1 and an arrow pointing left.","back":"$$x < 1$","points":1},{"id":"78d4e6a0-4654-4edb-be6a-9818fe9d57f4","cardType":"basic","front":"When solving an inequality, what must you do if you multiply or divide both sides by a negative number?","back":"Reverse the inequality sign (e.g., change $>$ to $<$).","points":1},{"id":"ce7a6c0e-2cae-4623-85dc-5725dee9ca08","cardType":"cloze","front":"The inequality sign [ ] when you add or subtract numbers from both sides.","back":"The inequality sign does NOT change when you add or subtract numbers from both sides.","points":null},{"id":"b65e89d9-7462-4407-b229-a912b3ea3f2d","cardType":"basic","front":"Solve the inequality: $3t + 5 \\le 17$","back":"$$t \\le 4$","points":2},{"id":"48e43db9-8d0e-40ee-9d91-9e477f0c8d92","cardType":"basic","front":"What is the recommended first step when solving an inequality with letters on both sides?","back":"Subtract the smaller variable part from both sides to keep the variable positive.","points":1},{"id":"97ad3c65-20d0-4bc4-b4ea-702965f1f649","cardType":"basic","front":"Solve the inequality: $5x + 1 \\le 2x + 13$","back":"$$x \\le 4$","points":2},{"id":"9257669d-cb42-4c56-abcb-1c426c314e18","cardType":"cloze","front":"If you divide both sides of $-12 > -3x$ by $-3$, the resulting inequality is $\\text{[...]}$.","back":"If you divide both sides of $-12 > -3x$ by $-3$, the resulting inequality is $\\boxed{4 < x}$.","points":null},{"id":"8

Inequalities Flashcards

Inequalities Flashcards

Inequalities Flashcards

Inequalities Flashcards