Answer:
4x + 4
Step-by-step explanation:
Answer:
<u>Given</u>
and
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line if this is an inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region below the same line, in our case the line is also part of the covered region because it is "≤".
We can state that the inequality includes the line and the region below the same line.
12 and 20 are both divisible by 4
12 ÷ 4 = 3
20 ÷ 4 = 5
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The simplest ratio would be 3:5
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)