A coordinate plane, with the x-axis from $-10$−10 to $10$10 and the y-axis also from $-10$−10 to $10$10. Two lines are drawn on the plane: a $solid$solid horizontal line which crosses the y-axis at $\left(0,-3\right)$(0,−3), and a $solid$solid line which crosses the x-axis at $\left(-\frac{5}{4},0\right)$(−54,0) and the y-axis at $\left(0,-5\right)$(0,−5). These lines intersect, dividing the coordinate plane into four regions. The $\text{upper left}$upper left region is shaded.

$y$y$\ge$≥$-4x-5$−4x−5 or $y$y$\ge$≥$-3$−3

$y$y$\ge$≥$-4x-5$−4x−5 and $y$y$\le$≤$-3$−3

$y$y$\le$≤$-4x-5$−4x−5 and $y$y$\ge$≥$-3$−3

$y$y$\le$≤$-4x-5$−4x−5 and $-\frac{5}{4}$−54$\le$≤$-3$−3

Easy

1min

Select the inequalities that describe the shaded region.

Easy

1min

Select the set of inequalities that describes the shaded region.

Medium

1min

Applicants for $a particular job$ are asked to sit a quantitative reasoning test and verbal reasoning test. Successful applicants must obtain a minimum score of $16$16 on a quantitative reasoning test and a minimum combined score of $31$31 for both tests.

Medium

2min

Outcomes

AC9M10A02

solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

3.04 Applications of linear inequalities

Interactive practice questions

Outcomes

AC9M10A02

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