Page 60 - Year 10
P. 60
Maths: FOUNDATION: Equations and Inequalities: 2 of 9
What you need to know: You need to be able to:
x > 2 is shown as: x ≥ 3 is shown as:
Reading and writing inequalities
• Read an inequality.
The list of integers for -2 ≤ x < 1 is -1, 0, 1 • Represent an inequality
on a number line.
Check the symbols • Solve one-step equations
carefully, if they have If x is between two values, use two circles: and inequalities.
the line underneath, • Solve two-step equations
they include and inequalities.
the end value.
• Solve equations
Solving one-step equations and inequalities and inequalities with
To solve any equation or inequality we need to do Solving with unknowns on both sides brackets.
the inverse of the operation that we see. To solve an equation or inequality with unknowns • Solve equations and
on both sides, we need to collect all of the same inequalities with
terms together, still by looking at the inverse. unknowns on both sides.
Top Tips:
Solving two-step equations and inequalities
To solve a two-step equation or inequality we Always add or subtract the smaller
need to complete 2 inverse calculations in a number of terms to avoid getting a
specific order. Solving equations with brackets: negative number at the end.
We must expand the brackets first then solve by The inequality sign always points
doing the inverse of the operations. We use the to the smaller number.
same method for inequalities.
Extension Grade 5+: Dividing by a
negative flips the inequality sign.
