homework\npart 1 of 2\nsolve and graph the following.\n$-29 \\leq 4x + 3$ and $4x + 3 < 19$\nselect the…

homework\npart 1 of 2\nsolve and graph the following.\n$-29 \\leq 4x + 3$ and $4x + 3 < 19$\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice\na. the solution is $\\{x \\mid \\boxed{\\phantom{0}} > x\\}$.\nb. the solution is $\\{x \\mid \\boxed{\\phantom{0}} \\geq x\\}$.\nc. the solution is $\\{x \\mid \\boxed{\\phantom{0}} < x \\leq \\boxed{\\phantom{0}}\\}$.\nd. the solution is $\\{x \\mid \\boxed{\\phantom{0}} \\leq x < \\boxed{\\phantom{0}}\\}$.\ne. the solution set is $\\emptyset$.

homework\npart 1 of 2\nsolve and graph the following.\n$-29 \\leq 4x + 3$ and $4x + 3 < 19$\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice\na. the solution is $\\{x \\mid \\boxed{\\phantom{0}} > x\\}$.\nb. the solution is $\\{x \\mid \\boxed{\\phantom{0}} \\geq x\\}$.\nc. the solution is $\\{x \\mid \\boxed{\\phantom{0}} < x \\leq \\boxed{\\phantom{0}}\\}$.\nd. the solution is $\\{x \\mid \\boxed{\\phantom{0}} \\leq x < \\boxed{\\phantom{0}}\\}$.\ne. the solution set is $\\emptyset$.

Answer

Explanation:

Step1: Solve left inequality

Subtract 3 from both sides: $-29 - 3 \leq 4x + 3 - 3$ $-32 \leq 4x$ Divide by 4: $\frac{-32}{4} \leq \frac{4x}{4}$ $-8 \leq x$

Step2: Solve right inequality

Subtract 3 from both sides: $4x + 3 - 3 < 19 - 3$ $4x < 16$ Divide by 4: $\frac{4x}{4} < \frac{16}{4}$ $x < 4$

Step3: Combine inequalities

Combine the two results: $-8 \leq x < 4$

Answer:

D. The solution is ${x \mid -8 \leq x < 4}$