-1
x^3=2x+5 x^3-2x-5=0 Graph the equation or use a calculator. x= 2.09455148
3
18
A graph that has 1 parabolla that has a minimum and 1 positive line.
There are no common points for the following two equations: y = 2x + 3 y = 2x - 1 If you graph the two lines, since they have the same slope, they are parallel - they will never cross.
The graph of an inequality in the coordinate plane represents a region that satisfies the inequality. For example, the inequality (y < 2x + 3) would be graphed by first drawing the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included), and then shading the area below the line, which contains all the points that satisfy the inequality. The boundary line can be solid if the inequality is "less than or equal to" or "greater than or equal to."
The inequality ( y < 2x - 3 ) represents the region below the line ( y = 2x - 3 ). This line has a slope of 2 and a y-intercept of -3. The boundary line itself is dashed, indicating that points on the line are not included in the solution set. The solution consists of all points that satisfy the inequality, meaning they lie below this dashed line.
To solve an inequality, isolate the variable on one side by performing inverse operations, similar to solving an equation. For example, if you have (2x + 3 < 7), subtract 3 from both sides and then divide by 2 to find (x < 2). To graph the inequality on a number line, use an open circle for "<" or ">" to indicate that the endpoint is not included, or a closed circle for "≤" or "≥" to indicate inclusion. Shade the region of the number line that satisfies the inequality, extending in the appropriate direction.
Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y < 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.
Not necessarily. 1=2x+37 -36=2x -18=x It is not an inequality when x=-18
3
2x plus y = -3 (subtract 2x from both sides) y = -2x - 3 slope = -2 y-intercept = -3
2x+3<7 2x<7-3 2x<4 x<2
You can do the equation Y 2x plus 3 on a graph. On this graph the Y would equal 5 and X would equal to 0.
2 is a solution of the equation, but not if it's an inequality.
To write the slope-intercept inequality for a graph, first identify the slope (m) and y-intercept (b) from the line. If the line is dashed, the inequality will be either < or >, while a solid line indicates ≤ or ≥. For example, if the line has a slope of 2 and a y-intercept of 3, the inequality could be y < 2x + 3 if the region below the line is shaded. Be sure to adjust the inequality symbol based on the line type and the shaded area.
x^3=2x+5 x^3-2x-5=0 Graph the equation or use a calculator. x= 2.09455148