Function Domain/Range Definition - Inequality to Interval (With Union) (Level 1) - Mobius Math Academy

Function Domain/Range Definition - Inequality to Interval (With Union)

Level 1

This math topic focuses on converting inequalities into interval notation, specifically incorporating unions to describe domains and ranges of functions. The problems involve interpreting inequalities, such as "X < 9 or 12 < X," and selecting from provided interval notation options like "(-∞, 9) ∪ (12, ∞)." This practice helps develop skills in understanding and applying mathematical expressions for function boundaries within a range of real numbers, critical for topics in calculus and advanced algebra.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Domain/Range Definition - Inequality to Interval (With Union) Worksheet

Math worksheet on 'Function Domain/Range Definition - Inequality to Interval (With Union) (Level 1)'. Part of a broader unit on 'Functions - Domain and Range - Practice' Learn online: app.mobius.academy/math/units/functions_domain_range_concept_practice/

What interval describes this domain?

$A LaTex expression showing X < 9\text{{ or }}12 < X$

a $A LaTex expression showing ( -\infty, 9)\cup(12, \infty)$

b $A LaTex expression showing ( -\infty, 9]\cup(12, 18)$

What interval describes this range?

$A LaTex expression showing -6 < Y < 2\text{{ or }}4 \le Y$

a $A LaTex expression showing [-6, 2]\cup(4, \infty)$

b $A LaTex expression showing (-6, 2)\cup[4, \infty)$

What interval describes this range?

$A LaTex expression showing 2 \le Y \le 6\text{{ or }}9 < Y < 13$

a $A LaTex expression showing [2, 6]\cup(9, 13)$

b $A LaTex expression showing [2, 6]\cup[9, \infty)$

What interval describes this domain?

$A LaTex expression showing -6 \le X < 5\text{{ or }}7 \le X$

a $A LaTex expression showing (-6, 5)\cup[7, \infty)$

b $A LaTex expression showing [-6, 5)\cup[7, \infty)$

What interval describes this range?

$A LaTex expression showing Y \le 8\text{{ or }}10 < Y$

a $A LaTex expression showing ( -\infty, 8]\cup(10, \infty)$

b $A LaTex expression showing ( -\infty, 8]\cup[10, \infty)$

What interval describes this range?

$A LaTex expression showing Y \le 1\text{{ or }}2 < Y < 7$

a $A LaTex expression showing ( -\infty, 1)\cup[2, 7]$

b $A LaTex expression showing ( -\infty, 1]\cup(2, 7)$

What interval describes this range?

$A LaTex expression showing 3 \le Y \le 6\text{{ or }}8 \le Y$

a $A LaTex expression showing [3, 6]\cup[8, \infty)$

b $A LaTex expression showing (3, 6)\cup[8, \infty)$

Function Domain/Range Definition - Inequality to Interval (With Union) (Level 1) - Mobius Math Academy