User:
• Matrices
• Algebra
• Geometry
• Graphs and functions
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Equation of a line Equation of a line (from graph) Quadratic function Parallel, coincident and intersecting lines Asymptotes Limits Distances Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Equations of a straight line Parallel, coincident and intersecting lines Distances Angles in space Inner product

Inequalities

A statement involving a variable and a sign of inequality (viz. < , ≤ , > or ≥) is called an inequality. A statement of inequality between two expressions consisting of a single variable, say x, of highest power 1, is called a linear inequality in one variable. It is ussually written in any of the following forms:

ax+b<0
ax+b>0
ax+b≥0
ax+b≤0

where a ≠ 0;

To solve for a variable, use inverse operations to undo the operations in the inequality. Be sure to do the same operation to both sides of the inequality.

Linear inequalities are solved much the same way as linear equations are solved, with one important exception: when multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed.

Solve for y

 -7(y-10) + 2 > 9 -7(y-10) + 2 -2 > 9 - 2 Subtract 2 from both sides -7(y-10) > 7 Simplify

In the next step, you will divide both sides of the inequality by a negative number. Be sure to also reverse the direction of the inequality symbol.

 $\frac{-7(y-10)}{-7}=\frac{7}{-7}$ Divide both sides by - 7 and reverse the inequality symbol y – 10 < - 1 Simplify y – 10 + 10 < - 1 + 10 Add 10 to both sides y < 9 Simplify

Solve for l.

4 > $\frac{l+6}{1}\;$

Solution: l