Simplify the following expression.
1 answer:
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First, work out the equation of the graph.
Equation of a straight line graph is given in the form
where 
is the slope of the line and 
is the y-intercept.
The graph given shows the line intercept y-axis at (0, -1)
To work out the slope, choose any two coordinates then find their vertical and horizontal distance. Say we choose (0, -1) and (3, 0)
The vertical distance is 1 and the horizontal distance is 3, so the slope is
Then form the equation for the line
→ Multiply each term by 3
Now the inequality part, the shaded region is above the line, so the values intended are 'greater than' and the line is a bold line, so the inequality is 'greater than or equal to' and the symbol is ≥
The inequality is then
3y ≥ x - 3
Note: None of the options show this answer. Maybe check if the original options have been copied correctly.
Equation of a straight line graph is given in the form
The graph given shows the line intercept y-axis at (0, -1)
To work out the slope, choose any two coordinates then find their vertical and horizontal distance. Say we choose (0, -1) and (3, 0)
The vertical distance is 1 and the horizontal distance is 3, so the slope is
Then form the equation for the line
Now the inequality part, the shaded region is above the line, so the values intended are 'greater than' and the line is a bold line, so the inequality is 'greater than or equal to' and the symbol is ≥
The inequality is then
3y ≥ x - 3
Note: None of the options show this answer. Maybe check if the original options have been copied correctly.