Understanding and Solving One-Variable Inequalities

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Definition:

Inequalities are mathematical expressions that use the symbols >, <, ≥ and ≤. Solving inequalities means to find a range or set of values that an unknown variable can take and can still satisfy the given inequality.

Summary:

INEQUALITIES SYMBOLS

＜	less than	a ＜ 5
＞	greater than	x ＞ -10
≤	less than or equal to	2r ≤ 1.5
≥	greater than or equal to	y ≥ 2y + 1

RULES IN INEQUALITIES

The rules of equations and inequalities are almost alike. There are just few rules that we need to be reminded of when dealing with inequalities. Please take note of the following key points.

KEY POINTS

If you add and subtract the same number to both sides of an inequality, the inequality remains true.
If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.
But if you multiply or divide both sides of an inequality by a negative number, the inequality is no longer true. In fact, the inequality becomes reversed.

Understanding and Solving One-Variable Inequalities Worksheets

This is a fantastic bundle which includes everything you need to know about Understanding and Solving One-Variable Inequalities across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 6 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.