Solving a linear inequality graphically | Maths | Quizalize & Oak National Academy

Starter quiz

$x>7$ is an algebraic representation of...

an inequality. ✓

an expression.

an equation.
Which of these values satisfy the inequality? $x>7$

$x=7$

$x=6$

$x=8$ ✓

$x=7.5$ ✓

$x= 165\;672$ ✓
Which is this line?

$y=4x$

$y=4$

$x=4$ ✓

$4$
Which is this line?

$x=-2$

$-2$

$y=-2$ ✓

$y=-2x$

$y=x-2$
Which of these coordinate pairs sit on this linear graph?

$(0,-5)$ ✓

$(-5,0)$

$(3,4)$ ✓

$(1,2)$

$(0.5,-3.5)$ ✓
What is the equation of this linear graph?

$y=3x$

$y=5+3x$

$y=3x-5$ ✓

$y=5x-3$

$x=3y-5$

A ______ is an area that graphically represents the solution to an inequality. We can label this area with an 'R'.

'region' ✓
Which inequality represents this region?

$x\le5$

$x\geq5$

$x<5$ ✓

$y<5$

$y>5$
Which inequality represents this region?

$y<-4$

$y\le-4$

$y>-4$

$y\geq-4$ ✓

$x>-4$
Which inequality is satisfied by this region?

$2$

$2$

$2\le{x}\le5$

$2\le{x}<5$

$2<{x}\le5$ ✓
Which inequality is represented graphically here?

$x>{3-y}$

$y$

$y\le{x-3}$

$y<{3-x}$ ✓

$y\le{3-x}$
This is the region that does not satisfy the inequality...

$y>4-2x$

$y<4-2x$

${y}\geq{4-2x}$

${y}\le{4-2x}$ ✓

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A linear inequality involving two variables can be graphed
A solid line indicates the solutions on the line are valid
A dashed line indicates a strict inequality
By testing points not on the line, you can determine the region that satisfies the inequality
This region is the solution set

Thinking that x = 4 is a line parallel to the x axis and that y = 4 is parallel to the y axis.

Consider the points along the line. Writing valid coordinate pairs lets pupils identify which coordinate stays the same and which one changes.

Region (inequalities) - A region is an area that graphically represents the solutions to one or more inequalities. Every coordinate pair within the region satisfies the inequalities that define the region.